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Stringy origin of non-Abelian discrete flavor symmetries

Tatsuo Kobayashi·Hans Peter Nilles·Felix Plöger·Stuart Raby·Michael Ratz
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Abstract

We study the origin of non-Abelian discrete flavor symmetries in superstring theory. We classify all possible non-Abelian discrete flavor symmetries which can appear in heterotic orbifold models. These symmetries include D_4 and Delta(54). We find that the symmetries of the couplings are always larger than the symmetries of the compact space. This is because they are a consequence of the geometry of the orbifold combined with the space group selection rules of the string. We also study possible breaking patterns. Our analysis yields a simple geometric understanding of the realization of non-Abelian flavor symmetries.

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Tatsuo Kobayashi, Hans Peter Nilles, Felix Plöger, Stuart Raby, Michael Ratz. 2007-01-31. Stringy origin of non-Abelian discrete flavor symmetries. https://doi.org/10.1016/j.nuclphysb.2007.01.018

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