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# Title: Orientifold limits of singular $F$-theory vacua

Abstract: We construct global orientifold limits of singular $F$-theory vacua whose associated gauge groups are SO(3), SO(5), SO(6), $F_4$, SU(4), and Spin(7). For each limit we show a universal tadpole relation is satisfied, which is a homological identity whose dimension-zero component encodes the matching of the D3 charge between each $F$-theory compactification and its orientifold limit. While for smooth $F$-theory compactifications which admit global orientifold limits the contribution to the associated universal tadpole relation comes from its Chern class, we show that for all singular $F$-theory compactifications under consideration, the contribution to the universal tadpole relation comes from its \emph{stringy} Chern class.
 Comments: No figures Subjects: High Energy Physics - Theory (hep-th); Algebraic Geometry (math.AG) DOI: 10.1016/j.nuclphysb.2020.115178 Cite as: arXiv:1903.02692 [hep-th] (or arXiv:1903.02692v2 [hep-th] for this version)

## Submission history

From: James Fullwood [view email]
[v1] Thu, 7 Mar 2019 02:13:14 GMT (12kb)
[v2] Thu, 6 Aug 2020 04:07:51 GMT (14kb)

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