Gauge origin of discrete flavor symmetries in heterotic orbifolds

We show that non-Abelian discrete symmetries in orbifold string models have a gauge origin. This can be understood when looking at the vicinity of a symmetry enhanced point in moduli space. At such an enhanced point, orbifold fixed points are characterized by an enhanced gauge symmetry. This gauge s...

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Main Authors: Florian Beye, Tatsuo Kobayashi, Shogo Kuwakino
Format: Article
Language:English
Published: Elsevier 2014-09-01
Series:Physics Letters B
Online Access:http://www.sciencedirect.com/science/article/pii/S0370269314005607
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author Florian Beye
Tatsuo Kobayashi
Shogo Kuwakino
author_facet Florian Beye
Tatsuo Kobayashi
Shogo Kuwakino
author_sort Florian Beye
collection DOAJ
description We show that non-Abelian discrete symmetries in orbifold string models have a gauge origin. This can be understood when looking at the vicinity of a symmetry enhanced point in moduli space. At such an enhanced point, orbifold fixed points are characterized by an enhanced gauge symmetry. This gauge symmetry can be broken to a discrete subgroup by a nontrivial vacuum expectation value of the Kähler modulus T. Using this mechanism it is shown that the Δ(54) non-Abelian discrete symmetry group originates from a SU(3) gauge symmetry, whereas the D4 symmetry group is obtained from a SU(2) gauge symmetry.
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spelling doaj.art-0035445a8d4e4495b430fab04054eef32022-12-21T23:26:47ZengElsevierPhysics Letters B0370-26931873-24452014-09-01736C43343710.1016/j.physletb.2014.07.058Gauge origin of discrete flavor symmetries in heterotic orbifoldsFlorian Beye0Tatsuo Kobayashi1Shogo Kuwakino2Department of Physics, Nagoya University, Furo-cho, Chikusa-ku, Nagoya 464-8602, JapanDepartment of Physics, Hokkaido University, Sapporo 060-0810, JapanDepartment of Physics, Chung-Yuan Christian University, 200 Chung-Pei Rd., Chung-Li 320, TaiwanWe show that non-Abelian discrete symmetries in orbifold string models have a gauge origin. This can be understood when looking at the vicinity of a symmetry enhanced point in moduli space. At such an enhanced point, orbifold fixed points are characterized by an enhanced gauge symmetry. This gauge symmetry can be broken to a discrete subgroup by a nontrivial vacuum expectation value of the Kähler modulus T. Using this mechanism it is shown that the Δ(54) non-Abelian discrete symmetry group originates from a SU(3) gauge symmetry, whereas the D4 symmetry group is obtained from a SU(2) gauge symmetry.http://www.sciencedirect.com/science/article/pii/S0370269314005607
spellingShingle Florian Beye
Tatsuo Kobayashi
Shogo Kuwakino
Gauge origin of discrete flavor symmetries in heterotic orbifolds
Physics Letters B
title Gauge origin of discrete flavor symmetries in heterotic orbifolds
title_full Gauge origin of discrete flavor symmetries in heterotic orbifolds
title_fullStr Gauge origin of discrete flavor symmetries in heterotic orbifolds
title_full_unstemmed Gauge origin of discrete flavor symmetries in heterotic orbifolds
title_short Gauge origin of discrete flavor symmetries in heterotic orbifolds
title_sort gauge origin of discrete flavor symmetries in heterotic orbifolds
url http://www.sciencedirect.com/science/article/pii/S0370269314005607
work_keys_str_mv AT florianbeye gaugeoriginofdiscreteflavorsymmetriesinheteroticorbifolds
AT tatsuokobayashi gaugeoriginofdiscreteflavorsymmetriesinheteroticorbifolds
AT shogokuwakino gaugeoriginofdiscreteflavorsymmetriesinheteroticorbifolds