4D Localization in Randall-Sundrum 2 Supergravity and in Vasiliev Theories

TL;DR

This paper investigates the localization of massless states in Randall-Sundrum 2 models derived from supergravity and Vasiliev theories, revealing that only certain supermultiplet modes localize and high spin fields require mass due to gauge anomalies.

Contribution

It demonstrates the localization of N=4 supergravity modes in RS2 models from 5D supergravity and addresses high spin field localization issues in Vasiliev theories.

Findings

Only N=4 graviton supermultiplet modes localize on the brane.

Charged BPS black holes in 4D uplift to non-singular 5D metrics with zero total charge.

High spin fields localize but must acquire mass due to gauge anomalies.

Abstract

We discuss the problem of localization of 4D massless states in Randall-Sundrum 2 (one-brane) models. A Randall-Sundrum 2 construction starting from N=8 gauged supergravity in 5D Anti de Sitter space gives rise to an N=4 supergravity-matter system. We explicitly show that only the modes of the N=4 graviton supermultiplet localize on the 4D brane, streamlining and generalizing previous works. We also point out that while charged 1/4 BPS black holes do exist in the 4D theory, they are always produced in sets of total charge zero. This zero-charge configuration uplifts to a 5D metric without naked singularities, thus avoiding the curvature singularity of the 5D uplift of an isolated charged BPS black hole. Finally, we resolve a puzzle with localization of massless high spin fields on a (putative) Randall-Sundrum 2 construction based on Vasiliev's high spin theories. We show that while high spin fields do localize, the gauge symmetry that ensures decoupling of their unphysical polarizations is anomalous. This implies that the high spin fields must acquire a mass.