Statistical Entropy of Calabi-Yau Black Holes
Mikhail Z. Iofa, Leopoldo A. Pando Zayas
TL;DR
This paper calculates the statistical entropy of certain Calabi-Yau black holes using near-horizon geometry and microstate counting, achieving exact agreement with classical entropy formulas.
Contribution
It introduces a method to compute black hole entropy via near-horizon geometry involving BTZ black holes and microstate counting, extending Strominger's proposal.
Findings
Exact match between statistical and Bekenstein-Hawking entropy.
Application to both nonextremal 4D and extremal 5D black holes.
Use of BTZ black hole geometry in entropy calculation.
Abstract
We computed the statistical entropy of nonextremal 4D and extremal 5D Calabi-Yau black holes and found exact agreement with the Bekenstein-Hawking entropy. The computation is based on the fact that the near-horizon geometry of equivalent representations contains as a factor the Ba\~nados-Teitelboim-Zanelli black hole and on subsequent use of Strominger's proposal generalizing the statistical count of microstates of the BTZ black hole due to Carlip.
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