A non-Abelian Black Ring

TL;DR

This paper constructs a supersymmetric non-Abelian black ring in five-dimensional supergravity by adding a non-Abelian instanton, revealing new effects on entropy and generalizing known black hole solutions.

Contribution

It introduces a novel non-Abelian black ring solution in five-dimensional supergravity, extending the class of known supersymmetric black objects with non-Abelian gauge fields.

Findings

The non-Abelian instanton reduces the black ring's entropy.

The solution's mass, angular momenta, and scalars at infinity remain unchanged.

A non-Abelian generalization of the BMPV black hole is derived.

Abstract

We construct a supersymmetric black ring solution of SU(2) N=1, d=5 Super-Einstein-Yang-Mills (SEYM) theory by adding a distorted BPST instanton to an Abelian black ring solution of the same theory. The change cannot be observed from spatial infinity: neither the mass, nor the angular momenta or the values of the scalars at infinity differ from those of the Abelian ring. The entropy is, however, sensitive to the presence of the non-Abelian instanton, and it is smaller than that of the Abelian ring, in analogy to what happens in the supersymmetric coloured black holes recently constructed in the same theory and in N=2, d=4 SEYM. By taking the limit in which the two angular momenta become equal we derive a non-Abelian generalization of the BMPV rotating black-hole solution.