New supersymmetric black holes in four dimensional N=2 supergravity

TL;DR

This paper explores new phases of supersymmetric black hole solutions in four-dimensional N=2 supergravity derived from type IIA string theory compactified on Calabi-Yau manifolds, revealing novel configurations and solution structures.

Contribution

It introduces a detailed analysis of supersymmetric flow equations for black holes with D0-D4-D6 charges, uncovering new phases and algebraic solution sets in N=2 supergravity.

Findings

Discovery of new black hole phases upon varying charges

Solution of algebraic equations for supersymmetric flows

Identification of unique solutions for fixed charges

Abstract

In this paper we consider the four dimensional N=2 supergravity theory arising from the compactification of type IIA string theory on a Calabi-Yau manifold. We analyse the supersymmetric flow equations for static, spherically symmetric, single-centered black holes. These flow equations are solved by a set of algebraic equations involving the holomorphic sections and harmonic functions. We examine black hole configurations with D0-D4-D6 charge for which the most general solution of these algebraic equations are considered. Though the black hole solution is unique for a given value of the charges, we find new phases of the black hole solutions upon varying them.