Orientifold limits of singular $F$-theory vacua

James Fullwood; Dongxu Wang

doi:10.1016/j.nuclphysb.2020.115178

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arXiv · 1903.02692

Orientifold limits of singular $F$-theory vacua

James Fullwood·Dongxu Wang

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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.

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James Fullwood, Dongxu Wang. 2019-03-07. Orientifold limits of singular $F$-theory vacua. https://doi.org/10.1016/j.nuclphysb.2020.115178

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