BPS equations in N=2, D=5 supergravity with hypermultiplets

TL;DR

This paper classifies BPS solutions in N=2, D=5 supergravity with hypermultiplets, focusing on electrostatic, spherical-symmetric solutions and providing explicit static black-hole solutions with hypermultiplet couplings.

Contribution

It introduces the most general form of electrostatic, spherical-symmetric BPS solutions in N=2, D=5 supergravity with hypermultiplets and analyzes their properties and restrictions.

Findings

Explicit solutions for static BPS black holes with hypermultiplet couplings.

Analysis of BPS equations and integrability conditions.

Characterization of restrictions imposed by hypermultiplet interactions.

Abstract

With the general aim to classify BPS solutions in N=2, D=5 supergravities interacting with an arbitrary number of vector, tensor and hypermultiplets, here we begin considering the most general electrostatic, spherical-symmetric BPS solutions in the presence of hypermultiplet couplings. We discuss the properties of the BPS equations and the restrictions imposed by their integrability conditions. We exhibit explicit solutions for the case of static BPS black-holes coupled to one (the so called universal) hypermultiplet.