Ftheory vacua with ${\mathbb{Z}}_{3}$ gauge symmetry
Discrete gauge groups naturally arise in Ftheory compactifications on genusone fibered Calabi–Yau manifolds. Such geometries appear in families that are parameterized by the Tate–Shafarevich group of the genusone fibration. While the Ftheory compactification on any element of this family gives rise to the same physics, the corresponding Mtheory 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 Mtheory vacua and the associated discrete gauge groups can be obtained by Higgsing of a pair of fivedimensional 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:

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^{[2]};
^{[3]};
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 Univ. of Pennsylvania, Philadelphia, PA (United States). Dept. of Physics and Astronomy
 Univ. of Pennsylvania, Philadelphia, PA (United States). Dept. of Physics and Astronomy; Univ. of Pennsylvania, Philadelphia, PA (United States). Dept. of Mathematics
 European Organization for Nuclear Research (CERN), Geneva (Switzerland). Physics Dept.
 Publication Date:
 Grant/Contract Number:
 SC0013528; NSF PHY0551164
 Type:
 Published Article
 Journal Name:
 Nuclear Physics. B
 Additional Journal Information:
 Journal Volume: 898; Journal Issue: C; Journal ID: ISSN 05503213
 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. Ftheory 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. Ftheory 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.
"Ftheory vacua with Z3 gauge symmetry". United States.
doi:10.1016/j.nuclphysb.2015.07.011.
@article{osti_1198721,
title = {Ftheory 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 Ftheory compactifications on genusone fibered Calabi–Yau manifolds. Such geometries appear in families that are parameterized by the Tate–Shafarevich group of the genusone fibration. While the Ftheory compactification on any element of this family gives rise to the same physics, the corresponding Mtheory 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 Mtheory vacua and the associated discrete gauge groups can be obtained by Higgsing of a pair of fivedimensional U(1) symmetries. The Higgs fields arise from vanishing cycles in I2fibers 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}
}