Three-family supersymmetric Pati-Salam models with symplectic groups from intersecting D6-branes

TL;DR

This paper constructs and analyzes new three-family supersymmetric Pati-Salam models from intersecting D6-branes, exploring gauge groups, particle spectra, and gauge coupling relations within string theory frameworks.

Contribution

It introduces a novel class of models with symplectic groups, identifies only five inequivalent configurations, and examines their gauge couplings, spectra, and particle dynamics.

Findings

Only five inequivalent models with USp(2) groups exist.

Models exhibit diverse gauge coupling relations at string scale.

One model contains no filler O6-planes.

Abstract

We construct new three-family ${\cal N}=1$ supersymmetric Pati-Salam models from intersecting D6-branes with original gauge group ${\rm U}(4)_C \times {\rm USp}(2)_L \times {\rm U}(2)_R$ on a Type IIA $\mathbb{T}^6/(\mathbb{Z}_2\times \mathbb{Z}_2)$ orientifold. We find that replacing a ${\rm U}(2)$ with a ${\rm USp}(2)$ group severely restricts the number of three-generation supersymmetric models such that there are only five inequivalent models. Exchanging the left and right sectors, we obtain five dual models with gauge group ${\rm U}(4)_C \times {\rm U}(2)_L \times {\rm USp}(2)_R$. These ten models have different gauge coupling relations at string scale. The highest wrapping number is 4, and one of the models contains no filler O6-planes. Moreover, we discuss in detail the particle spectra, the composite particles through strong coupling dynamics, and the exotic particle decouplings. Also, we study how to realize the string-scale gauge coupling relations in some models.