Gaugino mass in AdS space

TL;DR

This paper investigates how boundary conditions in AdS4 space influence gaugino masses in supersymmetric QED, revealing a necessary cancellation between UV and IR effects to preserve supersymmetry.

Contribution

It demonstrates the role of boundary-induced IR effects in canceling UV contributions to gaugino masses, extending anomaly mediation concepts to AdS space.

Findings

UV regulator induces gaugino mass in AdS4

IR boundary conditions break chiral symmetry

UV/IR cancellation preserves supersymmetry

Abstract

We study supersymmetric QED in AdS4 with massless matter. At 1-loop the ultra-violet regulator of the theory generates a contribution to the gaugino mass that is naively inconsistent with unbroken supersymmetry. We show that this effect, known in flat space as anomaly mediated supersymmetry breaking, is required to cancel an infra-red contribution arising from the boundary conditions in AdS space, which necessarily break chiral symmetry. We also discuss an analogous UV/IR cancellation that is independent of supersymmetry.