Three-family supersymmetric Pati-Salam models from intersecting D6-branes on rigid cycles

TL;DR

This paper constructs a new class of consistent three-family supersymmetric Pati-Salam models using rigid intersecting D6-branes on a specific orientifold, addressing moduli stabilization and phenomenological viability.

Contribution

It introduces the first three-family supersymmetric Pati-Salam models from rigid D6-branes on a $ ext{T}^6/( ext{Z}_2 imes ext{Z}_2^ ext{'} )$ orientifold, satisfying all known consistency conditions.

Findings

Models satisfy supersymmetry, tadpole, and K-theory constraints.

Particle spectra analyzed for phenomenological implications.

Exotic states decoupled via strong hidden sector dynamics.

Abstract

Intersecting D6-brane models without discrete torsion typically suffer from unstabilized open string moduli, arising from D-brane positions and Wilson lines. These moduli generate additional massless adjoint fields, obstructing the realization of negative beta functions necessary for asymptotic freedom unless they are decoupled around string scale. A viable solution involves utilizing rigid cycles, which eliminate these unwanted adjoint fields. In this work, we for the first time present a class of consistent three-family supersymmetric Pati-Salam models from rigid intersecting D6-branes on the factorizable $\mathbb{T}^6/(\mathbb{Z}_2 \times \mathbb{Z}_2^\prime)$ orientifold with discrete torsion. These models satisfy all the known consistency conditions, including $\mathcal{N}=1$ supersymmetry, K-theory constraints, tadpole cancellation, and recent swampland bounds on the maximal gauge group rank. We provide detailed particle spectra, analyze their phenomenological implications, and discuss the decoupling of exotic states through strong dynamics in the hidden sector.