MSSM flavors from 7-brane configurations of magnetized SYM on $R^{1,3} \times (T^2)^3/(Z_2 \times Z'_2)$

TL;DR

This paper constructs MSSM-like models from 7-brane configurations in magnetized SYM theory on a specific orbifold, achieving realistic flavor structures and hierarchical Yukawa couplings.

Contribution

It introduces a systematic method to realize MSSM spectra with semi-realistic flavor hierarchies from magnetized 7-brane setups on orbifolds.

Findings

MSSM-like zero-mode spectrum obtained from 7-brane configurations.

Hierarchical Yukawa couplings derived from wavefunction overlaps.

Framework for embedding additional 7-branes for hidden sector models.

Abstract

We show that chiral matters in the minimal supersymmetric standard model (MSSM) with semi-realistic flavor structures can be obtained form 7-brane configurations of magnetized super Yang-Mills (SYM) theory on a toroidal orbifold $R^{1,3} \times (T^2)^3/(Z_2 \times Z'_2)$, where background magnetic fluxes and Wilson-lines are turned on preserving four-dimensional ${\cal N}=1$ supersymmetry. The zero-mode spectrum of chiral multiplets in total is just MSSM ones, except the existence of those for three generations of right-handed neutrino and extra generations of MSSM Higgs pairs. Hierarchical Yukawa couplings can be obtained from the overlap integrals of wavefunctions localized in extra dimensions, allowing semi-realistic patterns of flavor structures for quarks and charged leptons. We also develop a systematic way to embed additional 7-branes into the configuration, those are sequestered from the visible sector toward a hidden sector model building.