Entropy of Extremal Black Holes in Two Dimension

TL;DR

This paper applies the entropy function formalism to two-dimensional black holes from heterotic string theory, deriving entropy and analyzing effects of higher derivatives and string-loop corrections in the JT model.

Contribution

It extends the entropy function formalism to 2D black holes from heterotic strings and the JT model, including higher derivative and string-loop effects.

Findings

Bekenstein-Hawking entropy derived from entropy function saddle point

Higher derivative terms analyzed in the entropy calculation

String-loop effects considered in the JT model

Abstract

In this paper we apply the entropy function formalism to the two-dimensional black hole which come from the compactification of the heterotic string theory with the dilaton coupling function. We find the Bekenstein-Hawking entropy from the value of the entropy function at its saddle point. Also we consider higher derivative terms. After that we apply the entropy function formalism to the Jackiw-Teitelboim (JT) model where we consider the effect of string-loop to this model.