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Discrete flavor symmetries in D-brane models

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Abstract

We study the presence of discrete flavor symmetries in D-brane models of particle physics. By analyzing the compact extra dimensions of these models one can determine when such symmetries exist both in the context of intersecting and magnetized D-brane constructions. Our approach allows to distinguish between approximate and exact discrete symmetries, and it can be applied to compactification manifolds with continuous isometries or to manifolds that only contain discrete isometries, like Calabi-Yau three-folds. We analyze in detail the class of rigid D-branes models based on a \( {{\mathbb{Z}}_2}\times \mathbb{Z}_2^{\prime } \) toroidal orientifold, for which the flavor symmetry group is either the dihedral group D 4 or tensor products of it. We construct explicit Pati-Salam examples in which families transform in non-Abelian representations of the flavor symmetry group, constraining Yukawa couplings beyond the effect of massive U(1) D-brane symmetries.

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Authors and Affiliations

  1. Instituto de Física Teorica UAM/CSIC, Cantoblanco, 28049, Madrid, Spain

    Fernando Marchesano & Diego Regalado

  2. Departamento de Física Teorica, Universidad Autonoma de Madrid, 28049, Madrid, Spain

    Diego Regalado

  3. Departamento de Física, DCI, Campus Leon, Universidad de Guanajuato, C.P. 37150, Guanajuato, México

    Liliana Vázquez-Mercado

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  1. Fernando Marchesano
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  2. Diego Regalado
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  3. Liliana Vázquez-Mercado
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Correspondence to Fernando Marchesano.

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ArXiv ePrint: 1306.1284

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Marchesano, F., Regalado, D. & Vázquez-Mercado, L. Discrete flavor symmetries in D-brane models. J. High Energ. Phys. 2013, 28 (2013). https://doi.org/10.1007/JHEP09(2013)028

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