Magnetized orbifold models

TL;DR

The work investigates (4+2n)-dimensional N=1 super Yang-Mills theory on orbifold backgrounds with nonzero magnetic flux to generate chiral zero-modes and novel flavor structures. It develops the formalism for magnetized torus models and extends it to magnetized orbifolds, deriving zero-mode multiplicities and Yukawa couplings from overlaps of theta-function wavefunctions, with SUSY-preserving conditions tying fluxes to geometry. The authors construct explicit three-family scenarios on T^6/(Z_2×Z'_2) and related spaces, showing how orbifold projections can reduce Higgs content and yield distinct flavor textures, including odd-mode zero-modes. These magnetized orbifold constructions provide a new avenue for semi-realistic, chirality-driven model building that complements intersecting D-brane approaches. The results highlight rich flavor possibilities and indicate multiple directions for further extensions and phenomenological exploration, including brane-localized states and non-Abelian flux backgrounds.

Abstract

We study (4+2n)-dimensional N=1 super Yang-Mills theory on the orbifold background with non-vanishing magnetic flux. In particular, we study zero-modes of spinor fields. The flavor structure of our models is different from one in magnetized torus models, and would be interesting in realistic model building.