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

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.

34 pages + appendix, published in Physical Review D

References in corpus (14)

• Four-dimensional String Compactifications with D-Branes, Orientifolds and Fluxes
• The Swampland: Introduction and Review
• Spacetime Instanton Corrections in 4D String Vacua - The Seesaw Mechanism for D-Brane Models
• Neutrino Majorana Masses from String Theory Instanton Effects
• Non-perturbative Yukawa Couplings from String Instantons
• Classification of Heterotic Pati-Salam Models
• Realistic Yukawa Couplings through Instantons in Intersecting Brane Worlds
• A Realistic World from Intersecting D6-Branes
• Realistic Yukawa Textures and SUSY Spectra from Intersecting Branes
• Stringy Instantons and Yukawa Couplings in MSSM-like Orientifold Models
• Type IIA Pati-Salam Flux Vacua
• Flipped and Unflipped SU(5) as Type IIA Flux Vacua
• Oddness from Rigidness
• Revisiting the $\mathcal{N}=1$ supersymmetric trinification models from intersecting D6-branes