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arXiv · 1406.4660

Gauge Origin of Discrete Flavor Symmetries in Heterotic Orbifolds

Florian Beye·Tatsuo Kobayashi·Shogo Kuwakino
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Abstract

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 $D_4$ symmetry group is obtained from a $SU(2)$ gauge symmetry.

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Florian Beye, Tatsuo Kobayashi, Shogo Kuwakino. 2014-06-18. Gauge Origin of Discrete Flavor Symmetries in Heterotic Orbifolds. https://doi.org/10.1016/j.physletb.2014.07.058

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