### Results for "Debasish Banerjee"

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Conformal dimensions in the large charge sectors at the O(4) Wilson-Fisher fixed pointFeb 25 2019We study the O(4) Wilson-Fisher fixed point in 2+1 dimensions in fixed large-charge sectors identified by products of two spin-j representations $(j_L, j_R)$. Using effective field theory we derive a formula for the conformal dimensions $D(j_L, j_R)$ ... More
Real-Time Evolution of Strongly Coupled Fermions driven by DissipationDec 01 2015We consider the real-time evolution of a strongly coupled system of lattice fermions whose dynamics is driven entirely by dissipative Lindblad processes, with linear or quadratic quantum jump operators. The fermion 2-point functions obey a closed set ... More
Extraction of bare Form Factors for $\mathrm B_\mathrm s \to \mathrm K \ell ν$ Decays in non-perturbative HQETMar 14 2019We discuss the extraction of the ground state $\langle \mathrm{K} ({\bf p})|V_\mu(0)|\mathrm{B} ({\bf 0})\rangle$ matrix elements from Euclidean lattice correlation functions. The emphasis is on the elimination of excited state contributions. Two typical ... More
Speeding up of Binary Merger Due to "Apparent" Gravitational Wave EmissionsOct 10 2018Gravitational waves from binary black hole pairs have emerged as an important observational tool in current times. The energy of the BH - BH binary pair is radiated in the form of gravitational waves and to compensate for that energy, kinetic energy of ... More
Finite size effects in the presence of a chemical potential: A study in the classical non-linear O(2) sigma-modelJan 20 2010Jul 12 2010In the presence of a chemical potential, the physics of level crossings leads to singularities at zero temperature, even when the spatial volume is finite. These singularities are smoothed out at a finite temperature but leave behind non-trivial finite ... More
Giant dipole resonance width as a probe for nuclear deformation at finite excitationMay 15 2013The systematic study of the correlation between the experimental giant dipole resonance (GDR) width and the average deformation <\beta> of the nucleus at finite excitation is presented for the mass region A ~ 59 to 208. We show that the width of the GDR ... More
Experimental signature of collective enhancement in nuclear level densityApr 03 2018We present a probable experimental signature of collective enhancement in the nuclear level density (NLD) by measuring the neutron and the giant dipole resonance (GDR) $\gamma$ rays emitted from the rare earth $^{169}$Tm compound nucleus populated at ... More
Identical Meson Interferometry in STAR ExperimentFeb 22 2007The influence of Bose-Einstein statistics on multi-particle production characterized for various systems and energies by the STAR collaboration provides interesting information about the space-time dynamics of relativistic heavy-ion collisions at RHIC. ... More
Dark Matter -- Possible Candidates and Direct DetectionMar 29 2007The cosmological observations coupled with theoretical calculations suggest the existence of enormous amount of unseen and unknown matter or dark matter in the universe. The evidence of their existence, the possible candidates and their possible direct ... More
Astrophysical Constraints on the scale of Left-Right Symmetry in Inverse Seesaw ModelsApr 30 2012Oct 01 2012We revisit the recently studied supersymmetric gauged inverse seesaw model (An et al., 2012) to incorporate astrophysical constraints on lightest supersymmetric particle (LSP) lifetime such that LSP constitutes the dark matter of the Universe. The authors ... More
Light Sterile Neutrino and Dark Matter in Left-Right Symmetric Models Without Higgs BidoubletJul 01 2016Oct 18 2016We present a class of left-right symmetric models where Dirac as well as Majorana mass terms of neutrinos can arise at one-loop level in a scotogenic fashion: with dark matter particles going inside the loop. We show the possibility of naturally light ... More
Detection Rates for Kaluza-Klein Dark MatterSep 24 2002We consider the lightest Kaluza-Klein particle at N=1 mode (LKP) of universal extra dimension to be the candidate for Dark Matter and predict the detection rates for such particles for Germenium and NaI detectors. We have also calculated the nature of ... More
Probing Pseudo-Dirac Neutrino through Detection of Neutrino Induced Muons from GRB NeutrinosJul 31 2006The possibility to verify the pseudo-Dirac nature of neutrinos is investigated here via the detection of ultra high energy neutrinos from distant cosmological objects like GRBs. The very long baseline and the energy range from $\sim$ TeV to $\sim$ EeV ... More
Relating Lepton Mixing Angles with Lepton Mass HierarchyJul 03 2015Nov 28 2015We revisit the possibility of relating lepton mixing angles with lepton mass hierarchies in a model-independent way. Guided by the existence of such relations in the quark sector, we first consider all the mixing angles, both in charged lepton and neutrino ... More
Thermodynamics of the ideal overlap quarks on the latticeMar 27 2008Jun 20 2008The thermodynamics of massless ideal gas of overlap quarks has been investigated both analytically and numerically for both zero and nonzero baryon chemical potential. Any \mu^2-divergence is shown analytically to be absent for a class of actions with ... More
Quasi-static probes of the QCD plasmaFeb 22 2011Screening correlators and masses were studied at finite temperature in QCD with two flavours of dynamical staggered quarks on a lattice. The spectrum of screening masses show a hierarchical approach to chiral symmetry restoration. Control of explicit ... More
Dynamical quantum phase transitions in $U(1)$ quantum link modelsAug 23 2018Quantum link models are extensions of Wilson-type lattice gauge theories which realize exact gauge invariance with finite-dimensional Hilbert spaces. Quantum link models not only reproduce the standard features of Wilson's lattice gauge theories, but ... More
Two introductory lectures on high energy QCD and heavy ion collisionsOct 20 2008These introductory lectures present a broad overview of the physics of high parton densities in QCD and its application to our understanding of the early time dynamics in heavy ion collisions.
Exact Chiral Fermions and Finite Density on LatticeSep 26 2008Any mu^2-divergence is shown analytically to be absent for a class of actions for Overlap and Domain Wall Fermions with nonzero chemical potential. All such actions are, however, shown to violate the chiral invariance. While the parameter M of these actions ... More
Thermodynamics and Finite size scaling in Scalar Field TheoryDec 05 2008In this work we consider the 1-component real scalar $\phi^4$ theory in 4 space-time dimensions on the lattice and investigate the finite size scaling of thermodynamic quantities to study whether the thermodynamic limit is attained. The results are obtained ... More
The scalar does not decay at finite temperaturesNov 01 2010We investigate medium effects on mesonic screening lengths for QCD with 2-flavours of dynamical staggered quarks on lattices with cutoff a=1/6T. Denoting the cross-over temperature by $T_c$, we vary the temperature T from 0.89$T_c$ to 1.92$T_c$, spanning ... More
Intensification of Gravitational Wave Field Near Compact StarFeb 19 2019The gravitational waves (GWs) has been a topic of interest for its versatile capabilities of probing several aspects of cosmology and early Universe. Gravitational lensing enhances further the extent of this sort of waves and upgrade our understanding ... More
Absence of jamming in ant trails: Feedback control of self propulsion and noiseOct 16 2014We present a model of ant traffic considering individual ants as self-propelled particles undergoing single file motion on a one-dimensional trail. Recent experiments on unidirectional ant traffic in well-formed natural trails showed that the collective ... More
Investigating Possible Neutrino Decay in Long Baseline Experiment Using ICAL as Far end DetectorDec 05 2007Dec 06 2007We investigate the effects of possible decay of neutrinos from a neutrino factory in a long baseline experiment. We consider the neutrinos from a factory at CERN and the detector to be the 50 kTon iron calorimeter (ICAL) detector proposed for India-based ... More
Heat conduction in a confined solid strip: Response to external strainJan 14 2006Jul 25 2006We study heat conduction in a system of hard disks confined to a narrow two dimensional channel. The system is initially in a high density solid-like phase. We study, through nonequilibrium molecular dynamics simulations, the dependence of the heat current ... More
"Bimaximal + Democratic" type neutrino mass matrix in view of quark-lepton complementarityMay 19 2005We demonstrate that Bimaximal + Democratic' type neutrino mass matrix can accommodate the deviation of $\theta_\odot$ from its maximal value which referred in the literature as quark-lepton complementarity' along with the other present day neutrino ... More
Stochastic pump of interacting particlesDec 28 2010We consider the overdamped motion of Brownian particles, interacting via particle exclusion, in an external potential that varies with time and space. We show that periodic potentials that maintain specific position-dependent phase relations generate ... More
How many interchanges does the selection sort make for iid geometric(p) input?Feb 27 2012The note derives an expression for the number of interchanges made by selection sort when the sorting elements are iid variates from geometric distribution. Empirical results reveal we can work with a simpler model compared to what is suggestive in theory. ... More
Connecting Leptonic CP Violation, Lightest Neutrino Mass and Baryon Asymmetry Through Type II SeesawOct 30 2014Mar 11 2015We study the possibility of connecting leptonic Dirac CP phase $\delta$, lightest neutrino mass and baryon asymmetry of the Universe within the framework of a model where both type I and type II seesaw mechanisms contribute to neutrino mass. Type I seesaw ... More
A nonlinear small-deformation theory for transient droplet electrohydrodynamicsMay 13 2016May 16 2016The deformation of a viscous liquid droplet suspended in another liquid and subject to an applied electric field is a classic multiphase flow problem best described by the Melcher-Taylor leaky dielectric model. The main assumption of the model is that ... More
Mechanical Failure of a Small and Confined SolidAug 22 2005Starting from a commensurate triangular thin solid strip, confined within two hard structureless walls, a stretch along its length introduces a rectangular distortion. Beyond a critical strain the solid fails through nucleation of "smectic"-like bands. ... More
Half lives and Rates for Electron Capture on Drip Line Nuclei and for Beta Decay with 65 < A <100May 15 2002The half lives are calculated for the process of $\beta^\pm$ decay and electron capture for nuclei in mass range $\sim$ 65 - 100 relevant for the core of a massive star at late burning stage of steller evolution that leads to supernova explosion. The ... More
Probing deviations from tri-bimaximal mixing through ultra high energy neutrino signalsAug 31 2006May 22 2007We investigate deviation from the tri-bimaximal mixing in the case of ultra high energy neutrino using ICECUBE detector. We consider the ratio of No. of muon tracks to the shower generated due to eletrons and hadrons. Our analysis shows for tri-bimaximal ... More
Dark Matter candidate in a Heavy Higgs Model - Direct Detection RatesJul 06 2006Nov 05 2007We investigate direct detection rates for Dark Matter candidates arise in a $SU(2)_L\times U(1)_Y$ with an additional doublet Higgs proposed by Barbieri, Hall and Rychkov. We refer this model as Heavy Higgs Model'. The Standard Model Higgs mass comes ... More
A texture of neutrino mass matrix in view of recent neutrino experimental resultsSep 24 2002In view of recent neutrino experimental results such as SNO, Super-Kamiokande (SK), CHOOZ and neutrinoless double beta decay $(\beta\beta_{0\nu})$, we consider a texture of neutrino mass matrix which contains three parameters in order to explain those ... More
Anomalous structural and mechanical properties of solids confined in quasi one dimensional stripsMay 22 2007Apr 01 2008We show using computer simulations and mean field theory that a system of particles in two dimensions, when confined laterally by a pair of parallel hard walls within a quasi one dimensional channel, possesses several anomalous structural and mechanical ... More
Sequential Learning of Movement Prediction in Dynamic Environments using LSTM AutoencoderOct 12 2018Predicting movement of objects while the action of learning agent interacts with the dynamics of the scene still remains a key challenge in robotics. We propose a multi-layer Long Short Term Memory (LSTM) autoendocer network that predicts future frames ... More
Heavy Quark Momentum Diffusion Coefficient from Lattice QCDSep 26 2011Dec 13 2011The momentum diffusion coefficient for heavy quarks is studied in a deconfined gluon plasma in the static approximation by investigating a correlation function of the color electric field using Monte Carlo techniques. The diffusion coefficient is extracted ... More
New Variables For Neutrino Oscillation Diagnostics at Superkamiokande and the Sudbury Neutrino ObservatoryJan 25 1999The SuperKamiokande collaboration has presented results on the observation of solar neutrinos. The Sudbury Neutrino Observatory (SNO) is also expected to go on-line in the near future. We propose several new variables, insensitive to the absolute flux ... More
A numerical renormalization group study of laser induced freezingMar 12 2004Oct 01 2004We study the phenomenon of laser induced freezing, within a numerical renormalization scheme which allows explicit comparison with a recent defect mediated melting theory. Precise values for the bare' dislocation fugacities and elastic moduli of the ... More
Constrained deformation of a confined solid: a strain induced crystal-smectic transitionJan 08 2004We report results of computer simulations of two-dimensional hard disks confined within a quasi one-dimensional hard-wall'' channel, a few atomic radii wide. Starting from a commensurate triangular solid a rescaling of the system size parallel to the ... More
Common Origin of Neutrino Mass, Dark Matter and Dirac LeptogenesisAug 12 2016We study the possibility of generating tiny Dirac neutrino masses at one loop level through the \textit{scotogenic} mechanism such that one of the particles going inside the loop can be a stable cold dark matter (DM) candidate. Majorana mass terms of ... More
Effects of Beyond Standard Model Physics on GRB NeutrinosJan 17 2013The nondetection of neutrinos coming from Gamma Ray Bursts (GRBs) by the IceCube experiment has raised serious questions on our understanding of GRB's and the mechanism of neutrino flux production in them. Motivated by this and the need for a precise ... More
Stabilizing Randomly Switched SystemsJun 09 2008This article is concerned with stability analysis and stabilization of randomly switched systems under a class of switching signals. The switching signal is modeled as a jump stochastic (not necessarily Markovian) process independent of the system state; ... More
On stability of randomly switched nonlinear systemsNov 22 2007This article is concerned with stability analysis and stabilization of randomly switched nonlinear systems. These systems may be regarded as piecewise deterministic stochastic systems: the discrete switches are triggered by a stochastic process which ... More
Real-Time Evolution of Strongly Coupled Fermions driven by DissipationDec 01 2015Nov 03 2016We consider the real-time evolution of a strongly coupled system of lattice fermions whose dynamics is driven entirely by dissipative Lindblad processes, with linear or quadratic quantum jump operators. The fermion 2-point functions obey a closed set ... More
An estimate of heavy quark momentum diffusion coefficient in gluon plasmaNov 11 2012We calculate the momentum diffusion coefficient for heavy quarks in SU(3) gluon plasma at temperatures 1-2 times the deconfinement temperature. The momentum diffusion coefficient is extracted from a Monte Carlo calculation of the correlation function ... More
HQET form factors for $B_s\to K\ellν$ decays beyond leading orderNov 03 2017Nov 25 2017We compute semi-leptonic $B_s$ decay form factors using Heavy Quark Effective Theory on the lattice. To obtain good control of the $1/m_b$ expansion, one has to take into account not only the leading static order but also the terms arising at $O(1/m_b)$: ... More
Real-time simulation of non-equilibrium transport of magnetization in large open quantum spin systems driven by dissipationMay 01 2015Sep 17 2015Using quantum Monte Carlo, we study the non-equilibrium transport of magnetization in large open strongly correlated quantum spin $\frac{1}{2}$ systems driven by purely dissipative processes that conserve the uniform or staggered magnetization. We prepare ... More
$Ψ(2S)$ and $Υ(3S)$ Suppression in p-Pb 8 TeV Collisions and Mixed Heavy Quark Hybrid MesonsJun 07 2016This brief report is an extension of a previus publication on $\Psi(2S)$ to $J/\Psi(1S)$ suppression in p-Pb collisions at 5.02 TeV to estimate $\Psi(2S)$ to $J/\Psi(1S)$ and $\Upsilon(3S)$ to $\Upsilon(1S)$ suppression via p-Pb collisions at 8 TeV as ... More
Upsilon Production In pp Collisions For Forward Rapidities At LHCJul 13 2012May 21 2013This is a continuation of recent studies of $\Upsilon(nS)$ production at the LHC in pp collisions. Our previous studies were for rapidity y=-1 to 1 for the CMS detector, while the present study is for y=2.5 to 4.0 at the LHC.
Spontaneous parity breaking and supersymmetry breaking in metastable vacua with consistent cosmologyJul 27 2011Jan 06 2012We study the compatibility of spontaneous breaking of parity and successful cosmology in a left-right symmetric model where supersymmetry breaking is achieved in metastable vacua. We show that domain walls formed due to this breaking can be removed due ... More
$Ψ$ and $Υ$ Production in Proton-Proton Collisions at E=13 TeVJan 12 2015May 27 2015This article is an extension of our recent studies of $\Psi$ and $\Upsilon$ production cross sections in proton-proton collisions at the LHC with E=$\sqrt{s}$=8.0 TeV to E=13 TeV
Gamma Ray and Neutrino Flux from Annihilation of Neutralino Dark Matter at Galactic Halo Region in mAMSB ModelMay 09 2012Jun 27 2013We consider the lightest supersymmetric particle (LSP), neutralino in minimal anomaly mediated supersymmetry breaking model (mAMSB) to be a possible candidate for weakly interacting massive particles (WIMP) or cold dark matter and investigate its direct ... More
Supersymmetric Left-Right models with Gauge Coupling Unification and Fermion Mass UniversalityOct 29 2010May 27 2011We explore the unification of gauge couplings and fermion masses in two different types of supersymmetric left-right models, one with Higgs triplets and the other with both Higgs triplets as well as bitriplets. The minimal versions of these models do ... More
Real-time simulation of dissipation-driven quantum systemsOct 29 2015Nov 03 2015We set up a real-time path integral to study the evolution of quantum systems driven in real-time completely by the coupling of the system to the environment. For specifically chosen interactions, this can be interpreted as measurements being performed ... More
Neutron response of the LAMBDA spectrometer and neutron interaction length in BaF2Jun 17 2013We report on the neutron response of the LAMBDA spectrometer developed earlier for high-energy gamma-ray measurement. The energy dependent neutron detection efficiency of the spectrometer has been measured using the time-of-flight (TOF) technique and ... More
A model of fasciculation and sorting in mixed populations of axonsMar 28 2010Jun 07 2011We extend a recently proposed model (Chaudhuri et al., EPL 87, 20003 (2009)) aiming to describe the formation of fascicles of axons during neural development. The growing axons are represented as paths of interacting directed random walkers in two spatial ... More
Pumping single-file colloids: Absence of current reversalSep 24 2014Jun 24 2015We consider the single-file motion of colloidal particles interacting via short-ranged repulsion and placed in a traveling wave potential, that varies periodically in time and space. Under suitable driving conditions, a directed time-averaged flow of ... More
Status of the neutrino decay solution to the solar neutrino problemApr 20 2000May 30 2000We re-examine the neutrino decay solution to the solar neutrino problem in the light of the SuperKamiokande (SK) data. For the decay solution the SK spectrum data by its own can provide a fit comparable to the fit obtained from the MSW solution. However ... More
Solar Neutrino Rates, Spectrum, and its Moments : an MSW Analysis in the Light of Super-Kamiokande ResultsMar 16 2000Apr 09 2001We re-examine MSW solutions of the solar neutrino problem in a two flavor scenario taking (a) the results on total rates and the electron energy spectrum from the 1117-day SuperKamiokande (SK) data and (b) those on total rates from the Chlorine and Gallium ... More
Real-time dynamics of open quantum spin systems driven by dissipative processesFeb 10 2015Jul 10 2015We study the real-time evolution of large open quantum spin systems in two spatial dimensions, whose dynamics is entirely driven by a dissipative coupling to the environment. We consider different dissipative processes and investigate the real-time evolution ... More
An Improved Single-Plaquette Gauge ActionDec 15 2015Jan 19 2016We describe and test a nonperturbatively improved single-plaquette lattice action for 4-d SU(2) and SU(3) pure gauge theory, which suppresses large fluctuations of the plaquette, without requiring the naive continuum limit for smooth fields. We tune the ... More
Continuum limit of the leading order HQET form factor in $B_s \to K\ellν$ decaysJan 17 2016Jun 02 2016We discuss the computation of form factors for semi-leptonic decays of $\rm B$-, $\rm B_s$- mesons in lattice QCD. Considering in particular the example of the static $\rm B_s$ form factors we demonstrate that after non-perturbative renormalization the ... More
The Stochastic Reach-Avoid Problem and Set Characterization for DiffusionsFeb 20 2012Jan 22 2016In this article we approach a class of stochastic reachability problems with state constraints from an optimal control perspective. Preceding approaches to solving these reachability problems are either confined to the deterministic setting or address ... More
Bimodal response in periodically driven diffusive systemsDec 07 2010We study the response of one dimensional diffusive systems, consisting of particles interacting via symmetric or asymmetric exclusion, to time-periodic driving from two reservoirs coupled to the ends. The dynamical response of the system can be characterized ... More
Sub-dominant Type II Seesaw as an Origin of Non-zero $θ_{13}$ in SO(10) model with TeV scale $Z^\prime$ Gauge BosonDec 20 2013Feb 17 2014We discuss a class of left-right symmetric models where the light neutrino masses originate dominantly from type I seesaw mechanism along with a sub-dominant type II seesaw contribution. The dominant type I seesaw gives rise to tri-bimaximal type neutrino ... More
Motion Planning for Continuous Time Stochastic Processes: A Dynamic Programming ApproachNov 06 2012Jan 22 2016We study stochastic motion planning problems which involve a controlled process, with possibly discontinuous sample paths, visiting certain subsets of the state-space while avoiding others in a sequential fashion. For this purpose, we first introduce ... More
Quintom scalar field : Varying dark energy equation of state obtained from recent SNe Ia, BAO and OHD dataMar 08 2011Jan 10 2013From the analysis of Supernova Ia data alongwith Observational Hubble Data (OHD) and Baryon Acoustic Oscillation (BAO) data, we attempt to find out the nature of a scalar potential that may be responsible for the Dark Energy of the universe. We demonstrate ... More
Reconstructing the equation of state and density parameter for dark energy from combined analysis of recent SNe Ia, OHD and BAO dataFeb 23 2011Mar 12 2011We adopt a model independent method to reconstruct the dark energy equation of state by analyzing 5 sets of SNe Ia data along with Baryon Acoustic Oscillation (BAO) and Observational Hubble Data (OHD). The SNe Ia data sets include the most recent UNION2 ... More
Stochastic model predictive control with bounded control inputs: a vector space approachMar 31 2009Oct 15 2009We design receding horizon control strategies for stochastic discrete-time linear systems with additive (possibly) unbounded disturbances, while obeying hard bounds on the control inputs. We pose the problem of selecting an appropriate optimal controller ... More
A Possible Explanation of Low Energy $γ$-ray Excess from Galactic Centre and Fermi Bubble by a Dark Matter Model with Two Real ScalarsDec 29 2013Mar 07 2014We promote the idea of multi-component Dark Matter (DM) to explain results from both direct and indirect detection experiments. In these models as contribution of each DM candidate to relic abundance is summed up to meet WMAP/Planck measurements of $\Omega_{\rm ... More On Stochastic Model Predictive Control with Bounded Control InputsFeb 23 2009This paper is concerned with the problem of Model Predictive Control and Rolling Horizon Control of discrete-time systems subject to possibly unbounded random noise inputs, while satisfying hard bounds on the control inputs. We use a nonlinear feedback ... More WIMPy Leptogenesis in extended Scotogenic ModelNov 06 2018Nov 28 2018We address the possibility of realizing successful leptogenesis from dark matter annihilations in the scotogenic model of neutrino masses to explain the same order of magnitude abundance of dark matter and baryons in the present Universe. After showing ... More New U(1) Gauge Model of Radiative Lepton Masses with Sterile Neutrino and Dark MatterDec 17 2015Feb 22 2016An anomaly-free U(1) gauge extension of the standard model (SM) is presented. Only one Higgs doublet with a nonzero vacuum expectation is required as in the SM. New fermions and scalars as well as all SM particles transform nontrivially under this U(1), ... More Blow ups and base changes of symmetric powers and Chow groupsSep 13 2016Let$\Sym^m X$denote the$m$-th symmetric power of a smooth projective curve$X$. Let$\wt{\Sym^m X}$be the blow up of$\Sym^m X$along some non-singular subvariety. In this note we are going to discuss when the pushforward homomorphism induced by the ... More Holographic Brownian motion at finite densityDec 18 2015Nov 22 2016Brownian motion of a heavy charged particle at zero and small (but finite) temperature is studied in presence of finite density. We are primarily interested in the dynamics at (near) zero temperature which is holographically described by motion of a fundamental ... More Qubit rotation in QHEMar 26 2008In Quantum Hall effect the ground state wave function at$\nu=1$is the building block of all other states at different filling factors. It is developed by the entanglement of two spinors forming a singlet state. The inherent frustration visualized by ... More The study of birefringent homogenous medium with geometric phaseMar 16 2011The property of linear and circular birefringence at each point of the optical medium has been evaluated here from differential matrix$N$using the Jones calculus.This matrix lies on the OAM sphere for$l=1$orbital angular momentum.The geometric phase ... More Aspects of noncommutative gauge theories and their commutative equivalentsSep 02 2004We discuss some exact Seiberg--Witten-type maps for noncommutative electrodynamics. Their implications for anomalies in different (noncommutative and commutative) descriptions are also analysed. Anomalies in noncommutative gauge theories, Seiberg-Witten transformation and Ramond-Ramond couplingsJan 23 2003We propose an exact expression for the unintegrated form of the star gauge invariant axial anomaly in an arbitrary even dimensional gauge theory. The proposal is based on the inverse Seiberg-Witten map and identities related to it, obtained earlier by ... More Hopf-Galois extensions of non-commutative spacesAug 03 2016We give a comonadic characterization of Hopf-Galois extensions of symmetric monoidal presentable stable$\infty$-categories and prove a Tannakian recognition theorem for categories of representations of derived affine group schemes satisfying certain ... More Galois Descent for Real SpectraMay 19 2013Sep 12 2015We prove analogs of faithfully flat descent and Galois descent for categories of modules over$E_{\infty}$-ring spectra using the$\infty$-categorical Barr-Beck theorem proved by Lurie. In particular, faithful$G$-Galois extensions are shown to be of ... More Chiral Anomalies In Field TheoriesJul 20 1999Aug 04 1999The role of the contribution from the fermion mass term in the axial vector Ward identity in generating the U(1) axial anomaly, both local and global, is elucidated. Gauge invariance requires the fermion to decouple from the gauge field if it is very ... More A Note on Charged Black Holes in AdS space and the Dual Gauge TheoriesSep 09 2010We study the thermodynamics and the phase structures of Reissner-Nordstrom and Born-Infeld black holes in AdS space by constructing off-shell'' free energies using thermodynamic quantities derived directly from the action. We then use these results ... More Non-standard real-analytic realizations of some rotations of the circleJan 07 2015Apr 07 2015We extend some aspects of the smooth approximation by conjugation method to the real-analytic set-up and create examples of zero entropy, uniquely ergodic real-analytic diffeomorphisms of the two dimensional torus metrically isomorphic to some (Liouvillian) ... More Boundaries of the Arnol'd tongues and the standard familyFeb 19 2014For a family$(F_{t,a} : x \mapsto x + t + a\phi(x))$of increasing homeomorphisms of$\mathbb R$with$\phi$being Lipschitz continuous of period 1, there is a parameter space consisting of the values$(t,a)$such that the map$F_{t,a}$is strictly increasing ... More On some spectral spaces associated to tensor triangulated categoriesOct 26 2016We consider a closure operator$c$of finite type on the space$SMod(\mathcal M)$of thick$\mathcal K$-submodules of a triangulated category$\mathcal M$that is a module over a tensor triangulated category$(\mathcal K,\otimes,1)$. Our purpose is to ... More On Noetherian schemes over$(\mathcal C,\otimes,1)$and the category of quasi-coherent sheavesMay 06 2015Jan 05 2016Let$(\mathcal C,\otimes,1)$be an abelian symmetric monoidal category satisfying certain conditions and let$X$be a scheme over$(\mathcal C,\otimes,1)$in the sense of To\"en and Vaqui\'{e}. In this paper we show that when$X$is quasi-compact and ... More Comment on relationship between atomic squeezed and entangled statesOct 05 2001The ability of parameter recently proposed by Sorensen et al. (Nature, 409, 63 (2001)) to characterize entanglement or inseparability is investigated for a system of two two-level atoms interacting with a single mode of radiation field. For comparison ... More Stability of charged thin-shell wormholes in (2 + 1) dimensionsOct 20 2013In this paper we construct charged thin-shell wormholes in (2+1)-dimensions applying the cut-and -paste technique implemented by Visser, from a BTZ black hole which was discovered by Banados, Teitelboim and Zanelli, and the surface stress are determined ... More Quasimodular Hecke algebras and Hopf actionsNov 12 2014Sep 03 2015Let$\Gamma=\Gamma(N)$be a principal congruence subgroup of$SL_2(\mathbb Z)$. In this paper, we extend the theory of modular Hecke algebras due to Connes and Moscovici to define the algebra$\mathcal Q(\Gamma)$of quasimodular Hecke operators of level ... More The$q$-analog of higher order Hochschild homology and the Lie derivativeNov 03 2014Let$A$be a commutative algebra over$\mathbb C$. Given a pointed simplicial finite set$Y$and$q\in \mathbb C$a primitive$N$-th root of unity, we define the$q$-Hochschild homology groups of$A$of order$Y$. When$D$is a derivation on$A$, we construct ... More Subleading Correction to Statistical Entropy for BMPV Black HoleJul 08 2008Sep 08 2008We study higher derivative corrections to the statistical entropy function and the statistical entropy for five dimensional BMPV black holes by doing the asymptotic expansion of the partition function. This enables us to evaluate entropy for a large range ... More Contiguity results for planted partition models: the dense caseSep 09 2016We consider the two block stochastic block model on$n$nodes with asymptotically equal cluster sizes. The connection probabilities within and between cluster are denoted by$p_n:=\frac{a_n}{n}$and$q_n:=\frac{b_n}{n}$respectively. Mossel et al.(2012) ... More On the closed embedding of the product of theta divisors into product of Jacobians and Chow groupsSep 14 2016In this article we generalize the injectivity of the push-forward homomorphism at the level of Chow groups, induced by the closed embedding of$\Sym^m C$into$\Sym^n C$for$m\leq n$, where$C$is a smooth projective curve, to symmetric powers of a smooth ... More Anomalous muon magnetic moment in a left-right symmetric composite modelFeb 19 2015We calculate the anomalous magnetic moment for muons at one loop level arising from left right symmetric excited leptons which are excited states of known standard model leptons. Such excited states arise in compositeness theories where the known leptons ... More Gauge Independent Reduction of a Solvable Model with Gribov-Like AmbiguityOct 30 1996We present a gauge independent Lagrangian method of abstracting the reduced space of a solvable model with Gribov-like ambiguity, recently proposed by Friedberg, Lee, Pang and Ren. The reduced space is found to agree with the explicit solutions obtained ... More Duality and Bosonisation in Arbitrary DimensionsSep 19 1995A functional integral approach is developed to discuss the bosonisation of the massive Thirring and the massive Schwinger models in arbitrary D-dimensions. It is found that these models, to {\it all} orders in the inverse fermi mass, bosonise to a theory ... More A modular description of ER(2)Dec 10 2012Jan 28 2014We give a description of the maximally unramified extension of completed second Real Johnson-Wilson theory using supersingular elliptic curves with$\Gamma_0(3)\$-level structures.
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