Microscopic entropy of the most general four-dimensional BPS black hole

TL;DR

This paper computes the microscopic entropy of the most general 4D BPS black hole in toroidally compactified string theory, linking microscopic states to macroscopic entropy and enabling a comprehensive understanding of BPS black hole microstates.

Contribution

It provides the microscopic entropy for the generating solution of 4D BPS black holes, covering all solutions related by U-duality in toroidal compactifications.

Findings

Microscopic entropy matches the macroscopic prediction.

Generates a universal description for all regular BPS black holes.

Links fundamental degrees of freedom to black hole entropy.

Abstract

In a recent paper we have given the macroscopic and microscopic description of the generating solution of toroidally compactified string theory BPS black holes. In this note we compute its corresponding microscopic entropy. Since by definition the generating solution is the most general solution modulo U-duality transformations, this result allows for a description of the fundamental degrees of freedom accounting for the entropy of any regular BPS black holes of toroidally compactified string (or M) theory.