Exact Counting of Black Hole Microstates

TL;DR

This paper precisely computes the quantum entropy of two-charge supersymmetric black holes in N=4 string theories, matching microscopic counts with macroscopic calculations including higher curvature corrections.

Contribution

It provides an exact, all-orders calculation of black hole entropy using Wald's formula and attractor equations with higher curvature terms, bridging microscopic and macroscopic descriptions.

Findings

Quantum corrected entropy matches microscopic counting

Exact entropy computed to all orders in an asymptotic expansion

Higher curvature terms are essential for precise entropy calculation

Abstract

The exact entropy of two-charge supersymmetric black holes in N=4 string theories is computed to all orders using Wald's formula and the supersymmetric attractor equations with an effective action that includes the relevant higher curvature terms. Classically, these black holes have zero area but the attractor equations are still applicable at the quantum level. The quantum corrected macroscopic entropy agrees precisely with the microscopic counting for an infinite tower of fundamental string states to all orders in an asymptotic expansion.