The entropy of near-extreme N=2 black holes

TL;DR

This paper derives an explicit classical entropy formula for near-extremal N=2 black holes in four dimensions, incorporating leading non-extremality corrections, and compares it with microscopic string theory predictions.

Contribution

It provides a new explicit expression for the classical entropy of near-BPS N=2 black holes, including leading non-extremality corrections, and matches it with microscopic calculations.

Findings

Explicit classical entropy formula for near-BPS black holes.

Quantitative agreement with microscopic string theory results.

Leading corrections accurately captured in the entropy expression.

Abstract

We give an explicit form of the classical entropy for four-dimensional static near-BPS-saturated black holes of generic N=2 superstring vacua. The expression is obtained by determining the leading corrections in the non-extremality parameter to the corresponding BPS-saturated black hole solutions. These classical results are quantitatively compared with the microscopic leading order corrections to the microscopic result of Maldacena Strominger and Witten for N=2 BPS-saturated black holes.