Meta-Stable Brane Configuration and Gauged Flavor Symmetry

TL;DR

This paper constructs a string theory brane configuration corresponding to a supersymmetric gauge theory with gauged flavor symmetry, analyzing its metastable nonsupersymmetric vacua through duality and F-term equations.

Contribution

It introduces a novel brane setup for a gauge theory with gauged flavor symmetry and explores its metastable vacua via Seiberg duality and superpotential analysis.

Findings

Identification of a brane configuration for the gauge theory

Analysis of metastable nonsupersymmetric vacua

Insights into gauged flavor symmetry in string theory context

Abstract

Starting from an N=1 supersymmetric electric gauge theory with the gauge group Sp(N_c) x SO(2N_c') with fundamentals for the first gauge group factor and a bifundamental, we apply Seiberg dual to the symplectic gauge group only and arrive at the N=1 supersymmetric dual magnetic gauge theory with dual matters including the gauge singlets and superpotential. By analyzing the F-term equations of the dual magnetic superpotential, we describe the intersecting brane configuration of type IIA string theory corresponding to the meta-stable nonsupersymmetric vacua of this gauge theory.