N=2 Extremal Black Holes

TL;DR

This paper demonstrates that extremal magnetic black holes in N=2 supergravity can be described as supersymmetric solitons connecting asymptotic and horizon solutions, with exact solutions found under specific conditions.

Contribution

It provides a new exact solution for extremal black holes in N=2 supergravity with real scalar ratios, linking the conformal factor to the Kahler potential.

Findings

Exact solutions for extremal black holes with real scalar ratios.

The conformal factor logarithm equals the Kahler potential.

Detailed discussion of multiple example solutions.

Abstract

It is shown that extremal magnetic black hole solutions of N = 2 supergravity coupled to vector multiplets $X^\Lambda$ with a generic holomorphic prepotential $F(X^\Lambda)$ can be described as supersymmetric solitons which interpolate between maximally symmetric limiting solutions at spatial infinity and the horizon. A simple exact solution is found for the special case that the ratios of the $X^\Lambda$ are real, and it is seen that the logarithm of the conformal factor of the spatial metric equals the Kahler potential on the vector multiplet moduli space. Several examples are discussed in detail.