Nonabelian solutions in N=4, D=5 gauged supergravity

TL;DR

This paper explores static nonabelian solutions in five-dimensional N=4 gauged supergravity, presenting numerical evidence for asymptotically anti-de Sitter configurations, a new exact solution, and a method to compute mass and action.

Contribution

It introduces new nonabelian solutions in N=4, D=5 supergravity, including an exact solution and a counterterm method for mass and action calculation.

Findings

Existence of asymptotically AdS solutions in N=4+ theory.

Presentation of a new exact nonabelian solution.

Development of a counterterm method for mass and action.

Abstract

We consider static, nonabelian solutions in N=4, D=5 Romans' gauged supergravity model. Numerical arguments are presented for the existence of asymptotically anti-de Sitter configurations in the $N=4^+$ version of the theory, with a dilaton potential presenting a stationary point. Considering the version of the theory with a Liouville dilaton potential, we look for configurations with unusual topology. A new exact solution is presented, and a counterterm method is proposed to compute the mass and action.