Meta-Stable Brane Configurations of Triple Product Gauge Groups

TL;DR

This paper explores the construction of meta-stable brane configurations in type IIA string theory corresponding to triple product gauge groups with supersymmetric duals, revealing new insights into their non-supersymmetric vacua.

Contribution

It introduces novel meta-stable brane configurations for triple product gauge groups, extending previous work to more complex gauge theories and their string theory realizations.

Findings

Identification of intersecting brane setups for meta-stable vacua.

Extension of dual magnetic theories to multiple product gauge groups.

Analysis of F-term equations linking gauge theories and brane configurations.

Abstract

From an N=1 supersymmetric electric gauge theory with the gauge group SU(N_c) x SU(N_c') x SU(N_c'') with fundamentals for each gauge group and the bifundamentals, we apply Seiberg dual to each gauge group and obtain the N=1 supersymmetric dual magnetic gauge theories with dual matters including the additional gauge singlets. By analyzing the F-term equations of the dual magnetic superpotentials, we describe the intersecting brane configurations of type IIA string theory corresponding to the meta-stable nonsupersymmetric vacua of this gauge theory. We apply also to the case for N=1 supersymmetric electric gauge theory with the gauge group Sp(N_c) x SO(2N_c') x Sp(N_c'') with flavors for each gauge group and the bifundamentals. Finally, we describe the meta-stable brane configurations of multiple product gauge groups.