Gauge Origin of Discrete Flavor Symmetries in Heterotic Orbifolds

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 $\Delta (54)$ 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.

12 pages

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Cited by in corpus (7)

• Unification of Flavor, CP, and Modular Symmetries
• Classification of three-generation models on magnetized orbifolds
• [Re]constructing Finite Flavour Groups: Horizontal Symmetry Scans from the Bottom-Up
• Delta(54) flavor phenomenology and strings
• On flavor symmetries of phenomenologically viable string compactifications
• Gauge extension of non-Abelian discrete flavor symmetry
• Flavon alignments from orbifolding: $SU(5)\times SU(3)$ model with ${\mathbb{T}}^6/\Delta (54)$