Electrically charged black branes in N=4^+, D=5 gauged supergravity

TL;DR

This paper studies electrically charged black branes in a five-dimensional supergravity model, revealing their instability to forming non-Abelian hair and their interpretation as holographic p-wave superfluids.

Contribution

It demonstrates the instability of U(1)×U(1) black branes to non-Abelian hair formation and identifies these as holographic p-wave superfluid phases.

Findings

U(1)×U(1) solutions become unstable at critical temperature.

Non-Abelian hair solutions emerge as zero modes.

Configurations can be viewed as holographic p-wave superfluids.

Abstract

We analyze the properties of asymptotically AdS electrically charged black brane solutions in a consistent truncation of the N=4^+, D=5 Romans' gauged supergravity which contains gravity, SU(2) and U(1) gauge fields, and a dilaton possessing a nontrivial potential approaching a constant negative value at infinity. We find that the U(1)\times U(1) solutions become unstable to forming non-Abelian hair. These configurations emerge as zero modes of the Abelian solutions at critical temperature and a critical (nonvanishing) ratio of the electric charges and can be viewed as holographic p-wave superfluids.