# Meta-Stable Brane Configuration of Product Gauge Groups

## TL;DR

This paper explores the brane configurations and dualities of various N=1 gauge theories, including SU, SO, and Sp groups, revealing meta-stable nonsupersymmetric vacua through type IIA string theory analysis.

## Contribution

It introduces a unified brane setup for analyzing dualities and meta-stable vacua in product gauge groups with fundamental and bifundamental matter.

## Key findings

- Identification of intersecting brane configurations for dual gauge theories.
- Extension to SO and Sp gauge groups with orientifold planes.
- Description of meta-stable nonsupersymmetric vacua in these theories.

## Abstract

Starting from the N=1 SU(N_c) x SU(N_c') gauge theory with fundamental and bifundamental flavors, we apply the Seiberg dual to the first gauge group and obtain the N=1 dual gauge theory with dual matters including the gauge singlets. By analyzing the F-term equations of the superpotential, we describe the intersecting type IIA brane configuration for the meta-stable nonsupersymmetric vacua of this gauge theory. By introducing an orientifold 6-plane, we generalize to the case for N=1 SU(N_c) x SO(N_c') gauge theory with fundamental and bifundamental flavors. Finally, the N=1 SU(N_c) x Sp(N_c') gauge theory with matters is also described very briefly.