Supersymmetric models on magnetized orbifolds with flux-induced Fayet-Iliopoulos terms

TL;DR

This paper explores supersymmetric models from ten-dimensional SUSY Yang-Mills theory on magnetized orbifolds, highlighting how flux-induced Fayet-Iliopoulos terms influence gauge symmetry breaking and lead to realistic three-generation models with phenomenological implications.

Contribution

It introduces a new class of SUSY magnetized orbifold models incorporating FI-terms, enabling gauge symmetry breaking and realistic fermion generations with novel phenomenological features.

Findings

Constructed a SUSY model with three generations of quarks and leptons.

Demonstrated how VEVs of charged fields cancel FI-terms and break gauge symmetries.

Showed phenomenological consequences of lepton number violation below the compactification scale.

Abstract

We study supersymmetric (SUSY) models derived from the ten-dimensional SUSY Yang- Mills theory compactified on magnetized orbifolds, with nonvanishing Fayet-Iliopoulos (FI) terms induced by magnetic fluxes in extra dimensions. Allowing the presence of FI-terms relaxes a constraint on flux configurations in SUSY model building based on magnetized backgrounds. In this case, charged fields develop their vacuum expectation values (VEVs) to cancel the FI-terms in the D-flat directions of fluxed gauge symmetries, which break the gauge symmetries and lead to a SUSY vacuum. Based on this idea, we propose a new class of SUSY magnetized orbifold models with three generations of quarks and leptons. Especially, we construct a model where the right-handed sneutrinos develop their VEVs which restore the supersymmetry but yield lepton number violating terms below the compactification scale, and show their phenomenological consequences.