Entropy Function for 4-Charge Extremal Black Holes in Type IIA Superstring Theory

TL;DR

This paper computes the entropy of 4-charge extremal black holes in Type IIA superstring theory using Sen's entropy function method, confirming agreement with Bekenstein-Hawking entropy and exploring higher order corrections.

Contribution

It applies Sen's entropy function method to calculate black hole entropy in Type IIA superstring theory, including higher order corrections, providing precise agreement with known results.

Findings

Agreement with Bekenstein-Hawking entropy

Higher order corrections depend on effective action form

Method confirms entropy calculation consistency

Abstract

We calculate the entropy of 4-charge extremal black holes in Type IIA supersting theory by using Sen's entropy function method. Using the low energy effective actions in both $10D$ and 4D, we find precise agreements with the Bekenstein-Hawking entropy of the black hole. We also calculate the higher order corrections to the entropy and find that they depend on the exact form of the higher order corrections to the effective action.