Meta-Stable Brane Configurations by Higher Order Polynomial Superpotential

TL;DR

This paper constructs and analyzes non-supersymmetric meta-stable brane configurations in type IIA string theory with complex polynomial superpotentials, revealing a variety of stable and meta-stable states.

Contribution

It introduces a new class of meta-stable brane configurations with higher order polynomial superpotentials, expanding understanding of non-supersymmetric vacua in string theory.

Findings

Identification of rich meta-stable states

Construction of intersecting brane configurations with orientifold planes

Connection to gauge theory vacua

Abstract

We construct the type IIA nonsupersymmetric meta-stable brane configuration consisting of (2k+1) NS5-branes and D4-branes where the electric gauge theory superpotential has an order (2k+2) polynomial for the bifundamentals. We find a rich pattern of nonsupersymmetric meta-stable states as well as the supersymmetric stable ones. By adding the orientifold 4-plane to this brane configuration, we also describe the intersecting brane configuration of type IIA string theory corresponding to the meta-stable nonsupersymmetric vacua of corresponding gauge theory.