Geometrically Induced Metastability and Holography

TL;DR

This paper constructs and analyzes metastable brane configurations in Calabi-Yau manifolds, revealing a calculable mechanism for spontaneous supersymmetry breaking via large N duality and matrix model techniques.

Contribution

It introduces a new class of metastable brane configurations and demonstrates their large N duals, providing a calculable framework for supersymmetry breaking in flux compactifications.

Findings

Metastable brane/anti-brane configurations are constructed.

Large N duals replace 2-spheres with fluxed 3-spheres.

Supersymmetry breaking is spontaneously realized and exactly calculable.

Abstract

We construct metastable configurations of branes and anti-branes wrapping 2-spheres inside local Calabi-Yau manifolds and study their large N duals. These duals are Calabi-Yau manifolds in which the wrapped 2-spheres have been replaced by 3-spheres with flux through them, and supersymmetry is spontaneously broken. The geometry of the non-supersymmetric vacuum is exactly calculable to all orders of the `t Hooft parameter, and to the leading order in 1/N. The computation utilizes the same matrix model techniques that were used in the supersymmetric context. This provides a novel mechanism for breaking supersymmetry in the context of flux compactifications.