Title: A line of CFTs: from generalized free fields to SYK,
Abstract: We point out that there is a simple variant of the SYK model, which we call
cSYK, that is $SL(2,R)$ invariant for all values of the coupling. The
modification consists of replacing the UV part of the SYK action with a
quadratic bilocal term. The corresponding bulk dual is a non-gravitational
theory in a rigid AdS$_2$ background. At weak coupling cSYK is a generalized
free field theory; at strong coupling, it approaches the infrared of SYK. The
existence of this line of fixed points explains the previously found connection
between the three-point function of bilinears in these two theories at large
$q$.