The Attractor Mechanism in Five Dimensions

TL;DR

This paper provides a comprehensive introduction to the attractor mechanism in five-dimensional black holes, covering supersymmetric, rotating, and non-BPS cases, with thermodynamic insights.

Contribution

It offers a pedagogical framework for understanding the attractor mechanism across various black hole configurations in five dimensions.

Findings

Formalism for supersymmetric black holes in five dimensions

Refinements for rotating and non-spherical black holes

Thermodynamic interpretations of the attractor mechanism

Abstract

We give a pedagogical introduction to the attractor mechanism. We begin by developing the formalism for the simplest example of spherically symmetric black holes in five dimensions which preserve supersymmetry. We then discuss the refinements needed when spherical symmetry is relaxed. This is motivated by rotating black holes and, especially, black rings. An introduction to non-BPS attractors is included, as is a discussion of thermodynamic interpretations of the attractor mechanism.