The Dynamics of Very Special Black Holes

TL;DR

This paper demonstrates that the moduli space of supersymmetric black holes in five-dimensional N=2 supergravity forms a weak HKT manifold, with explicit metrics provided for specific models like the STU model.

Contribution

It establishes the geometric structure of black hole moduli spaces in supergravity and provides explicit metrics for particular models, linking special geometry to HKT structures.

Findings

Moduli space is a weak HKT manifold.

The moduli metric is derived from a HKT potential.

Explicit metric for the STU model is provided.

Abstract

We show that the moduli space of supersymmetric black holes that arise in the five-dimensional N=2 supergravity theory with any number of vector multiplets is a weak HKT manifold. The moduli metric is expressed in terms of a HKT potential which is determined by the associated very special geometry of the supergravity theory. As an example, we give explicitly the black hole moduli metric for the STU model.