Moduli Spaces for Four- and Five- Dimensional Black Holes

TL;DR

This paper introduces a universal formula for the moduli space metrics of certain supersymmetric black holes in four and five dimensions, encompassing various intersecting brane configurations and supergravity models.

Contribution

It provides a universal expression for the moduli metric of supersymmetric black holes and explicitly computes the metric for electrically charged N=2 D=4 black holes.

Findings

Derived a universal moduli metric formula for supersymmetric black holes.

Explicitly computed the moduli metric for N=2 D=4 electrically charged black holes.

Explored superconformal symmetries in black hole moduli spaces.

Abstract

We propose a universal expression for the moduli metric of a class of four- and five-dimensional black holes which preserve at least four supersymmetries. These include the black holes that are associated with various intersecting branes in ten and eleven dimensions, the electrically charged black holes of N=2 D=5 and N=2 D=4 supergravities with any number of vector multiplets, and dyonic black holes of N=2 D=4 supergravity. The moduli metric of electrically charged N=2 D=4 black holes coupled to any number of vector multiplets is explicitly computed. We also investigate the superconformal symmetries of the black hole moduli spaces for small black hole separations.