The Holographic Goldstino

TL;DR

This paper demonstrates how the Goldstino, a massless fermion arising from spontaneous supersymmetry breaking, manifests in a holographic model through contact terms in supercurrent correlators, derived via holographic renormalization.

Contribution

It provides a holographic derivation of the Goldstino's features and illustrates the emergence of contact terms from supergravity without relying on specific background details.

Findings

Goldstino appears as a massless pole in supercurrent correlators

Contact terms in Ward identities are derived holographically

A family of solutions exemplifies the mechanism

Abstract

We find the fingerprints of the Goldstino associated to spontaneous supersymmetry breaking in a prototype holographic model for a strongly coupled field theory. The Goldstino massless pole arises in two-point correlators of the supercurrent, due to contact terms in supersymmetry Ward identities. We show how these contact terms are obtained from the holographic renormalization of the gravitino sector, independently of the details of the bulk background solution. For completeness, we provide an example of a family of such solutions in a simple supergravity model.