Nonextremal Black Hole Microstates and U-duality

TL;DR

This paper constructs a family of five-dimensional black hole solutions with six parameters, demonstrating that their entropy matches string theory predictions far from extremality through a duality-invariant extension.

Contribution

It introduces a new six-parameter family of black hole solutions and extends entropy formulas to nonextremal cases using U-duality invariance.

Findings

Exact match of Bekenstein-Hawking entropy with string theory predictions

Extension of entropy formulas beyond extremality

Demonstration of duality invariance in nonextremal solutions

Abstract

A six-parameter family of five-dimensional black hole solutions is constructed which are labeled by their mass, two asymptotic scalar fields and three charges. It is shown that the Bekenstein-Hawking entropy is exactly matched, arbitrarily far from extremality, by a simple but mysterious duality-invariant extension of previously derived formulae for the number of D-brane states in string theory.