Higher dimensional black holes and supersymmetry

TL;DR

This paper proves two uniqueness theorems for supersymmetric black holes in five dimensions, supporting the assumptions used in string theory entropy calculations and discussing properties of higher dimensional black holes.

Contribution

It provides the first partial proofs of uniqueness for supersymmetric black holes in five dimensions, addressing a key gap in higher-dimensional black hole theory.

Findings

Proved two uniqueness theorems for supersymmetric black holes in five dimensions

Discussed properties and conjectures about non-supersymmetric higher dimensional black holes

Supported the validity of assumptions used in string theory black hole entropy calculations

Abstract

It has recently been shown that the uniqueness theorem for stationary black holes cannot be extended to five dimensions. However, uniqueness is an important assumption of the string theory black hole entropy calculations. This paper partially justifies this assumption by proving two uniqueness theorems for supersymmetric black holes in five dimensions. Some remarks concerning general properties of non-supersymmetric higher dimensional black holes are made. It is conjectured that there exist new families of stationary higher dimensional black hole solutions with fewer symmetries than any known solution.