Black Hole Thermodynamics from String Theory

TL;DR

This paper explores a string theory approach to black hole horizons, demonstrating how the Bekenstein-Hawking entropy formula can be derived from a two-dimensional sigma model with a Rindler background, linking it to 'tHooft's formalism.

Contribution

It introduces a stringy formalism for black hole horizons that reproduces the Bekenstein-Hawking entropy and connects to existing 'tHooft approaches.

Findings

Derivation of black hole entropy from a string sigma model.

Establishment of a relation between the formalism and 'tHooft's approach.

Leading order results match the Bekenstein-Hawking formula.

Abstract

In this note we consider a stringy description of black hole horizon. We start with a nonlinear sigma model defined on a two dimensional Euclidean surface with background Rindler metric. By solving the field equations, we show that to the leading order the Bekenstein-Hawking formula of black hole entropy can be produced. We also point out a relation between the present formalism and the 'tHooft formalism.