Hidden-sector current-current correlators in holographic gauge mediation

TL;DR

This paper develops a holographic approach to gauge mediation, enabling the calculation of supersymmetry-breaking soft terms via two-point functions of hidden-sector currents in a strongly coupled setup.

Contribution

It introduces a method to compute hidden-sector current correlators holographically, allowing direct calculation of soft terms in gauge mediation models.

Findings

Soft scalar masses are calculable from correlators in the toy geometry.

Visible-sector gauginos remain massless at leading order in this framework.

The approach bridges strongly coupled hidden sectors with holographic dual descriptions.

Abstract

We discuss gauge mediation in the case where the hidden sector is strongly coupled but, via the gauge-gravity correspondence, admits a weakly-coupled description in terms of a warped higher-dimensional spacetime. In this framework, known as holographic gauge mediation, the visible-sector gauge group is realized in the gravitational description by probe D-branes and the non-supersymmetric state by normalizable perturbations to the geometry. Using the formalism of general gauge mediation, supersymmetry-breaking soft terms in the visible sector can be related to the two-point functions of the hidden-sector current superfield that couples to the visible-sector gauge group. Such correlation functions cannot be directly calculated in the strongly coupled field theory but can be determined using the gauge-gravity correspondence and holographic renormalization. We explore this procedure by considering a toy geometry where such two-point functions can be explicitly calculated. Unlike previous implementations of holographic gauge mediation where sermon masses were not calculable directly in a purely holographic framework, such terms are readily obtained via these correlators, while (due to the simplicity of the geometry considered) the visible sector gauginos remain massless to leading order in the visible-sector coupling.