Multiple Single-Centered Attractors

TL;DR

This paper investigates multiple single-centered attractor solutions in N=2 supergravity, demonstrating their existence through explicit examples in string theory and analyzing their stability and entropy.

Contribution

It introduces the concept of multiple attractors in four-dimensional supergravity and provides explicit constructions and stability analysis for non-supersymmetric cases.

Findings

Existence of multiple attractors in 4D supergravity.

Explicit non-supersymmetric attractor solutions in type IIA on K3 x T2.

Detailed entropy and stability analysis of these attractors.

Abstract

In this paper we study spherically symmetric single-centered attractors in N=2 supergravity in four dimensions. The attractor points are obtained by extremising the effective black hole potential in the moduli space. Using the 4D-5D correspondence of critical points of the effective black hole potential we argue the existence of multiple attractors in four dimensions and explicitly construct a pair of multiple solutions in a simple two parameter model. We further obtain explicit examples of two distinct non-supersymmetric attractors in type IIA string theory compactified on K3 X T2 carrying D0-D4-D6 charges. We compute the entropy of these attractors and analyse their stability in detail.