TL;DR
This paper explores the Kerr/CFT correspondence, demonstrating that the Cardy formula accurately reproduces the entropy of extremal Kerr black holes in a regime where temperature is order unity, by relating it to a D0-D6 system.
Contribution
It shows that the entropy matching in Kerr/CFT can be understood within the Cardy regime through a D0-D6 system analogy, extending the applicability of the Cardy formula.
Findings
The Cardy formula reproduces Kerr black hole entropy at order unity temperature.
The entropy comparison is consistent with a D0-D6 system.
The approach extends the understanding of Kerr/CFT correspondence.
Abstract
The Kerr/CFT correspondence employs the Cardy formula to compute the entropy of the left moving CFT states. This computation, which correctly reproduces the Bekenstein--Hawking entropy of the four-dimensional extremal Kerr black hole, is performed in a regime where the temperature is of order unity rather than in a high-temperature regime. We show that the comparison of the entropy of the extreme Kerr black hole and the entropy in the CFT can be understood within the Cardy regime by considering a D0-D6 system with the same entropic properties.
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