Entropy of Three-Dimensional Black Holes in String Theory

TL;DR

This paper demonstrates how the entropy of three-dimensional BTZ black holes in heterotic string theory can be computed directly from string theory principles, highlighting a fundamental connection between black hole thermodynamics and string theory.

Contribution

It provides a novel calculation of black hole entropy using string theory without D-brane analysis, focusing on supersymmetric solutions in three dimensions.

Findings

Entropy computed directly from string theory methods.

Black hole solutions involve non-zero dilaton and NS-NS H-field.

Explicit example of fundamental string theory application to black hole entropy.

Abstract

It is observed that the three-dimensional BTZ black hole is a supersymmetric solution of the low-energy field equations of heterotic string theory compactified on an Einstein space. The solution involves a non-zero dilaton and NS-NS H-field. The entropy of the extreme black hole can then be computed using string theory and the asymptotic properties of anti-de Sitter space, without recourse to a D-brane analysis. This provides an explicit example of a black hole whose entropy can be computed using fundamental string theory, as advocated by Susskind.