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Title: F-theory vacua with Z 3 gauge symmetry

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 I 2-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:
 [1] ;  [2] ;  [3] ;  [1] ;  [1]
  1. Univ. of Pennsylvania, Philadelphia, PA (United States). Dept. of Physics and Astronomy
  2. Univ. of Pennsylvania, Philadelphia, PA (United States). Dept. of Physics and Astronomy; Univ. of Pennsylvania, Philadelphia, PA (United States). Dept. of Mathematics
  3. European Organization for Nuclear Research (CERN), Geneva (Switzerland). Physics Dept.
Publication Date:
Grant/Contract Number:
SC0013528; NSF PHY05-51164
Type:
Published Article
Journal Name:
Nuclear Physics. B
Additional Journal Information:
Journal Volume: 898; Journal Issue: C; Journal ID: ISSN 0550-3213
Publisher:
Elsevier
Research Org:
Univ. of Pennsylvania, Philadelphia, PA (United States)
Sponsoring Org:
USDOE Office of Science (SC)
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
OSTI Identifier:
1198721
Alternate Identifier(s):
OSTI ID: 1454254

Cvetic, Mirjam, Donagi, Ron, Klevers, Denis, Piragua, Hernan, and Poretschkin, Maximilian. F-theory vacua with Z3 gauge symmetry. United States: N. p., Web. doi:10.1016/j.nuclphysb.2015.07.011.
Cvetic, Mirjam, Donagi, Ron, Klevers, Denis, Piragua, Hernan, & Poretschkin, Maximilian. F-theory vacua with Z3 gauge symmetry. United States. doi:10.1016/j.nuclphysb.2015.07.011.
Cvetic, Mirjam, Donagi, Ron, Klevers, Denis, Piragua, Hernan, and Poretschkin, Maximilian. 2015. "F-theory vacua with Z3 gauge symmetry". United States. doi:10.1016/j.nuclphysb.2015.07.011.
@article{osti_1198721,
title = {F-theory vacua with Z3 gauge symmetry},
author = {Cvetic, 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 = {United States},
year = {2015},
month = {7}
}