文档介绍：arXiv:hep-th/9711053 v1 7 Nov 1997
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1. Introduction
Thanks to recent advances in string theory, the thermodynamic properties of black
holes can be microscopically derived in a variety of contexts with remarkable precision [1].
This has led to new insights into the quantum structure of black holes as well as string
theory itself. The macroscopic-microscopic correspondence has developed to the extent
that semiclassical black holes have e a powerful tool for analyzing the quantum
theories which describe their dynamics [2-5].
In this paper we pute pare the macroscopic and microscopic entropies
of extremal black holes arising in an M-pactification to four dimensions on
M ×S1, where M is a Calabi-Yau threefold, so that the unbroken spacetime supersymmetry
is precisely N = 2. Some special cases were considered in [6] and a heuristic exp