F-theory vacua with Z 3 gauge symmetry

Cvetič, Mirjam; Donagi, Ron; Klevers, Denis; Piragua, Hernan; Poretschkin, Maximilian

doi:10.1016/j.nuclphysb.2015.07.011

Title: F-theory vacua with $Z_{3}$ gauge symmetry

Journal Article · Tue Sep 01 00:00:00 EDT 2015 · Nuclear Physics. B

DOI:https://doi.org/10.1016/j.nuclphysb.2015.07.011· OSTI ID:1198721

Cvetič, Mirjam; Donagi, Ron; Klevers, Denis; Piragua, Hernan; Poretschkin, Maximilian

Discrete gauge groups naturally arise in F-theory compactifications on genus-one fibered Calabi–Yau manifolds. Such geometries appear in families that are parameterized by the Tate–Shafarevich group of the genus-one fibration. While the F-theory compactification on any element of this family gives rise to the same physics, the corresponding M-theory compactifications on these geometries differ and are obtained by a fluxed circle reduction of the former. In this note, we focus on an element of order three in the Tate–Shafarevich group of the general cubic. We discuss how the different M-theory vacua and the associated discrete gauge groups can be obtained by Higgsing of a pair of five-dimensional U(1) symmetries. The Higgs fields arise from vanishing cycles in I₂-fibers that appear at certain codimension two loci in the base. As a result, we explicitly identify all three curves that give rise to the corresponding Higgs fields. In this analysis the investigation of different resolved phases of the underlying geometry plays a crucial rôle.

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Research Organization:: Univ. of Pennsylvania, Philadelphia, PA (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: SC0013528; NSF PHY05-51164

OSTI ID:: 1198721

Alternate ID(s):: OSTI ID: 1454254

Journal Information:: Nuclear Physics. B, Journal Name: Nuclear Physics. B Vol. 898 Journal Issue: C; ISSN 0550-3213

Publisher:: ElsevierCopyright Statement

Country of Publication:: Netherlands

Language:: English

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Cited by: 54 works

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