Geometric Metastability, Quivers and Holography

TL;DR

This paper explores large N duality in Calabi-Yau manifolds with brane/anti-brane configurations, revealing geometric representations of gauge theory dualities and RG flows, both in supersymmetric and non-supersymmetric contexts.

Contribution

It demonstrates that large N duality reproduces known brane/anti-brane physics features and encodes RG flows via holography, extending dualities to non-supersymmetric cases.

Findings

Large N duality matches known brane/anti-brane physics.

Holographic geometry encodes RG flow.

Dualities extend to non-supersymmetric theories.

Abstract

We use large N duality to study brane/anti-brane configurations on a class of Calabi-Yau manifolds. With only branes present, the Calabi-Yau manifolds in question give rise to N=2 ADE quiver theories deformed by superpotential terms. We show that the large N duality conjecture of hep-th/0610249 reproduces correctly the known qualitative features of the brane/anti-brane physics. In the supersymmetric case, the gauge theories have Seiberg dualities which are represented as flops in the geometry. Moreover, the holographic dual geometry encodes the whole RG flow of the gauge theory. In the non-supersymmetric case, the large N duality predicts that the brane/anti-brane theories also enjoy such dualities, and allows one to pick out the good description at a given energy scale.