Euclidean Supergravity and Multi-Centered Solutions

TL;DR

This paper constructs supersymmetric multi-centered solutions in five-dimensional Euclidean gauged supergravity, extending known solutions to include time-independent configurations with multiple black holes and higher-dimensional Einstein-Maxwell cases.

Contribution

It provides the first explicit multi-centered solutions in D=5, N=2 Euclidean gauged supergravity, broadening the understanding of stable multi-black hole configurations.

Findings

Constructed supersymmetric multi-centered solutions in D=5, N=2 Euclidean gauged supergravity.

Extended multi-centered Einstein-Maxwell solutions to higher dimensions.

Demonstrated stability and supersymmetry preservation of the solutions.

Abstract

In ungauged supergravity theories, the no-force condition for BPS states implies the existence of stable static multi-centered solutions. The first solutions to Einstein-Maxwell theory with a positive cosmological constant describing an arbitrary number of charged black holes were found by Kastor and Traschen. Generalisations to five and higher dimensional theories were obtained by London. Multi-centered solutions in gauged supergravity, even with time-dependence allowed, have yet to be constructed. In this letter we construct supersymmetry-preserving multi-centered solutions for the case of D=5, N=2 Euclidean gauged supergravity coupled to an arbitrary number of vector multiplets. Higher dimensional Einstein-Maxwell multi-centered solutions are also presented.