Statistical Entropy of Four-Dimensional Extremal Black Holes

Abstract

String theory is used to count microstates of four-dimensional extremal black holes in compactifications with $N\phantom{\rule{0ex}{0ex}}=\phantom{\rule{0ex}{0ex}}4$ and $N\phantom{\rule{0ex}{0ex}}=\phantom{\rule{0ex}{0ex}}8$ supersymmetry. The result agrees for large charges with the Bekenstein-Hawking entropy.