Supersymmetric asymptotically locally AdS$_5$ gravitational solitons

TL;DR

This paper constructs new supersymmetric gravitational soliton solutions in five-dimensional gauged supergravity that are asymptotically locally AdS$_5$ with specific boundary topology, expanding the known landscape of such solutions.

Contribution

It introduces a complete class of supersymmetric, globally stationary solitons with $1/4$-BPS property in five-dimensional gauged supergravity with multiple vector multiplets.

Findings

Solutions are asymptotically locally AdS$_5$ with boundary $R imes L(p,1)$.

Constructed solutions include previously known limits as special cases.

The ansatz used generalizes earlier methods for black hole solutions.

Abstract

We construct supersymmetric gravitational soliton solutions of five-dimensional gauged supergravity coupled to arbitrarily many vector multiplets. The solutions are complete, globally stationary, $1/4$-BPS and are asymptotically locally AdS$_5$ with conformal boundary $\mathbb{R} \times L(p,1)$. The construction uses an $SU(2) \times U(1)-$invariant ansatz originally used by Gutowski and Reall to construct supersymmetric asymptotically AdS$_5$ black holes. A subset of these solutions have previously been obtained as supersymmetric limits of a class of local solutions of $U(1)^3$ gauged supergravity found by Chong-Cvetic-Lu-Pope, and by Lucietti-Ovchinnikov in their classification of $SU(2)$-invariant solutions of minimal gauged supergravity.