A Gravity Dual of Metastable Dynamical Supersymmetry Breaking

TL;DR

Metastable SUSY breaking in warped flux geometries is studied by perturbing the KS throat with smeared $\\overline{D3}$-branes and analyzing the UV asymptotics of the IIB supergravity solution. The authors solve the linearized equations around the KT/KS backgrounds, showing that the backreaction activates imaginary anti-self-dual flux, squashes the $T^{1,1}$, and runs the dilaton, while preserving Poincaré invariance and yielding a nonzero energy density proportional to a single parameter $\\mathcal{S}$. Using generalized holographic renormalization for cascading geometries, they extract the field theory VEVs: $\\langle T_{\\mu\\nu} \rangle \\propto -\\mathcal{S}$, $\\langle \\mathcal{O}_{-} \\rangle \\propto \\mathcal{S}$, and $\\langle \\mathcal{O}_{+} \\rangle$ with dilaton contributions, confirming SUSY breaking at an exponentially small scale controlled by the IR throat. The results support the KPV picture within gauge/gravity duality and provide a concrete gravity-side characterization of the metastable SUSY-breaking state in the confining gauge theory.

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.