Supersymmetric Charged Clouds in AdS_5

TL;DR

This paper analyzes supersymmetric holographic flows in AdS_5 with gauge fields representing chemical potentials, revealing new smooth solutions and black-hole-like flows with implications for giant gravitons and AdS black holes.

Contribution

It provides a complete analysis of supersymmetry conditions in gauged N=8 supergravity with chemical potentials, discovering new interpolating solutions and black-hole-like flows.

Findings

Discovered a new smooth flow between two AdS spaces with different radii and chemical potentials.

Identified black-hole-like singular flows and a new non-supersymmetric black hole solution.

Discussed the interpretation of solutions in terms of giant gravitons and black-hole physics.

Abstract

We consider supersymmetric holographic flows that involve background gauge fields dual to chemical potentials in the boundary field theory. We use a consistent truncation of gauged N=8 supergravity in five dimensions and we give a complete analysis of the supersymmetry conditions for a large family of flows. We examine how the well-known supersymmetric flow between two fixed points is modified by the presence of the chemical potentials and this yields a new, completely smooth, solution that interpolates between two global AdS spaces of different radii and with different values of the chemical potential. We also examine some black-hole-like singular flows and a new non-supersymmetric black hole solution. We comment on the interpretation of our new solutions in terms of giant gravitons and discuss the implications of our work for finding black-hole solutions in AdS geometries.