Supersymmetry and the AdS Higgs Phenomenon

TL;DR

This paper investigates how matter boundary conditions in AdS space lead to a dynamically generated mass for spin-1 fields, specifically graviphotons, and explores the implications for supersymmetry through explicit calculations.

Contribution

It provides the first explicit one-loop calculation of graviphoton mass in AdS_4 and establishes conditions for unbroken supersymmetry based on mass ratios.

Findings

Graviphotons acquire a mass in AdS_4 when boundary conditions are relaxed.

The mass ratio between graviton and graviphoton is consistent with unbroken supersymmetry.

The results apply to both N=2 and N=4 gauged supergravities.

Abstract

We examine the AdS Higgs phenomenon for spin-1 fields, and demonstrate that graviphotons pick up a dynamically generated mass in AdS_4, once matter boundary conditions are relaxed. We perform an explicit one-loop calculation of the graviphoton mass, and compare this result with the mass generated for the graviton in AdS. In this manner, we obtain a condition for unbroken supersymmetry. With this condition, we examine both N=2 and N=4 gauged supergravities coupled to matter multiplets, and find that for both cases the ratio between dynamically generated graviton and graviphoton masses is consistent with unbroken supersymmetry.