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Entropy functions of BPS black holes in AdS$_4$ and AdS$_6$
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abstract
We find the entropy functions of supersymmetric black holes in AdS$_4$ and AdS$_6$ with electric charges and angular momenta. Extremizing these functions, one obtains the entropies and the chemical potentials of known analytic black hole solutions.
Forward citations
Cited by 2 Pith papers
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Quantum vortices, M2-branes and black holes
The Cardy-limit index for M2-brane theories gives a large-N free energy scaling as N^(3/2) that, after a Legendre transform, matches the entropy of BPS black holes in AdS4 x S7.
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Black hole entropy function for toric theories via Bethe Ansatz
Using Bethe Ansatz equations, the authors show that a simple class of solutions reproduces the conjectured entropy function of rotating AdS5 black holes for all toric quiver gauge theories.
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