Holographic Goldstino

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 prove the existence of a family of such solutions in a simple supergravity model.

Figure 1

$F(z)$ and $\varphi (z)$ profiles for a BPS solution (dashed) with $a=1$ and $\beta =0$, and a supersymmetry-breaking one (solid) with $a=1$ and $\beta =-2/3$. While the behavior is the same, switching on $\beta$ the position of the singularity moves closer to the $z=0$ boundary.