A Gravity Dual of Metastable Dynamical Supersymmetry Breaking

TL;DR

This paper constructs a gravity dual description of metastable supersymmetry-breaking states by analyzing the backreaction of antibranes in a warped conifold geometry, linking supergravity solutions to dual gauge theory states.

Contribution

It provides a perturbative method to determine supergravity solutions corresponding to antibrane probes in a warped deformed conifold, elucidating their dual field theory interpretation.

Findings

Backreaction introduces imaginary anti-self-dual flux.

Squashes the compact space and causes the dilaton to run.

Determines operator expectation values via holographic renormalization.

Abstract

Metastable, supersymmetry-breaking configurations can be created in flux geometries by placing antibranes in warped throats. Via gauge/gravity duality, such configurations should have an interpretation as supersymmetry-breaking states in the dual field theory. In this paper, we perturbatively determine the asymptotic supergravity solutions corresponding to anti-D3-brane probes placed at the tip of the cascading warped deformed conifold geometry, which is dual to an SU(N+M) x SU(N) gauge theory. The backreaction of the antibranes has the effect of introducing imaginary anti-self-dual flux, squashing the compact part of the space and forcing the dilaton to run. Using the generalization of holographic renormalization to cascading geometries, we determine the expectation values of operators in the dual field theory in terms of the asymptotic values of the supergravity fields.