Black Holes and Fourfolds

TL;DR

This paper explores the connection between black hole solutions in string theory and flux compactifications, revealing new classes of solutions and how supersymmetry can be hidden within these frameworks.

Contribution

It establishes a link between multicenter black hole solutions and GKP flux compactifications, introducing new classes of solutions and analyzing supersymmetry camouflage.

Findings

Known multicenter black hole solutions correspond to specific flux compactifications.

Most general GKP compactifications yield new BPS and non-BPS solutions.

The structure of N=2 truncations is clarified within torus compactifications.

Abstract

We establish the relation between the structure governing supersymmetric and non-supersymmetric four- and five-dimensional black holes and multicenter solutions and Calabi-Yau flux compactifications of M-theory and type IIB string theory. We find that the known BPS and almost-BPS multicenter black hole solutions can be interpreted as GKP compactifications with (2,1) and (0,3) imaginary self-dual flux. We also show that the most general GKP compactification leads to new classes of BPS and non-BPS multicenter solutions. We explore how these solutions fit into N=2 truncations, and elucidate how supersymmetry becomes camouflaged. As a necessary tool in our exploration we show how the fields in the largest N=2 truncation fit inside the six-torus compactification of eleven-dimensional supergravity.