Three family supersymmetric Pati-Salam model from rigid intersecting D6-branes

TL;DR

This paper presents the first explicit construction of a three-family supersymmetric Pati-Salam model using rigid intersecting D6-branes on a specific orientifold, enabling detailed control over moduli and symmetry breaking.

Contribution

It introduces a novel three-family supersymmetric Pati-Salam model from rigid intersecting D6-branes with explicit moduli stabilization and symmetry breaking mechanisms.

Findings

Successfully constructed a three-family supersymmetric Pati-Salam model.

Demonstrated gauge symmetry breaking to the Standard Model.

Achieved fermion mass generation and supersymmetry breaking mechanisms.

Abstract

We construct, for the first time, a three-family $\mathcal{N}=1$ supersymmetric Pati-Salam model from rigid intersecting D6-branes on a factorizable $\mathbb{T}^6/(\mathbb{Z}_2\times \mathbb{Z}_2')$ orientifold with discrete torsion. The factorizable geometry allows for explicit control over rigid cycles and moduli stabilization. We can break the Pati-Salam gauge symmetry down to the Standard Model (SM) gauge symmetry via the supersymmetry preserving Higgs mechanism, generate the SM fermion masses and mixings, and break the supersymmetry via gaugino condensations in the hidden sector.