Non-Abelian discrete flavor symmetries from magnetized/intersecting brane models

Abstract

We study non-abelian discrete flavor symmetries, which can appear in magnetized brane models. For example, D 4 , ∆(27) and ∆(54) can appear and matter fields with several representations can appear. We also study the orbifold background, where non-abelian flavor symmetries are broken in a certain way. *

Z N twisted orbifold models with magnetic flux

“…Thus, magnetic flux backgrounds are quite interesting. Indeed, several studies have been carried out to derive four-dimensional realistic models and study their phenomenological aspects, e.g., Yukawa couplings [5], 3 realization of quark/lepton masses and their mixing angles [14], higher order couplings [15], flavor symmetries [16][17][18][19][20][21], massive modes [22], and so on [23][24][25][26][27][28][29][30][31].…”

“…The toroidal compactification can lead to three zero modes only when M = 3, and such a model leads to ∆ (27) flavor symmetry [16][17][18][19][20]. 16 On the other hand, three generations can be realized in various orbifold models and that would lead to a rich flavor structure. Couplings among zero modes in the four-dimensional low energy effective field theory are obtained by overlap integrals of their wave functions.…”

Discrete gauge symmetry and Aharonov-Bohm radiation in string theory

“…In string theories, discrete gauge symmetries have been widely studied from various points of view [22][23][24][25][26][27][28][29][30][31][32][33][34][35]. For example, in [30], BF coupling is derived by dimensionally reducing the Chern-Simons coupling in a flux compactification, and, in [27], by dimensional reduction of the kinetic term of an RR-field in a compactification with discrete torsions.…”

Non-Abelian discrete flavor symmetries of 10D SYM theory with magnetized extra dimensions

“…For example, the degeneracy of chiral zero-modes, i.e., the number of generation, is determined by the magnitude of magnetic fluxes, and the overlap integrals of localized zero-mode wavefunctions yield Yukawa couplings for chiral matter fields in the 4D LEEFT. Indeed, many phenomenologically important properties of the SM, such as the 4D chirality, the number of generations and hierarchical Yukawa couplings [13,14] could be originated from the magnetic fluxes.…”