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Title: F-theory vacua with Z 3 gauge symmetry

Abstract

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.

Authors:
; ; ; ;
Publication Date:
Research Org.:
Univ. of Pennsylvania, Philadelphia, PA (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1198721
Alternate Identifier(s):
OSTI ID: 1454254
Grant/Contract Number:  
SC0013528; NSF PHY05-51164
Resource Type:
Published Article
Journal Name:
Nuclear Physics. B
Additional Journal Information:
Journal Name: Nuclear Physics. B Journal Volume: 898 Journal Issue: C; Journal ID: ISSN 0550-3213
Publisher:
Elsevier
Country of Publication:
Netherlands
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS

Citation Formats

Cvetič, Mirjam, Donagi, Ron, Klevers, Denis, Piragua, Hernan, and Poretschkin, Maximilian. F-theory vacua with Z 3 gauge symmetry. Netherlands: N. p., 2015. Web. doi:10.1016/j.nuclphysb.2015.07.011.
Cvetič, Mirjam, Donagi, Ron, Klevers, Denis, Piragua, Hernan, & Poretschkin, Maximilian. F-theory vacua with Z 3 gauge symmetry. Netherlands. https://doi.org/10.1016/j.nuclphysb.2015.07.011
Cvetič, Mirjam, Donagi, Ron, Klevers, Denis, Piragua, Hernan, and Poretschkin, Maximilian. Tue . "F-theory vacua with Z 3 gauge symmetry". Netherlands. https://doi.org/10.1016/j.nuclphysb.2015.07.011.
@article{osti_1198721,
title = {F-theory vacua with Z 3 gauge symmetry},
author = {Cvetič, Mirjam and Donagi, Ron and Klevers, Denis and Piragua, Hernan and Poretschkin, Maximilian},
abstractNote = {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.},
doi = {10.1016/j.nuclphysb.2015.07.011},
journal = {Nuclear Physics. B},
number = C,
volume = 898,
place = {Netherlands},
year = {Tue Sep 01 00:00:00 EDT 2015},
month = {Tue Sep 01 00:00:00 EDT 2015}
}

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