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A note on the entropy of rotating BPS AdS$_7\times S^4$ black holes
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abstract
In this note we show that the entropy of BPS, rotating, electrically charged AdS$_7 \times S^4$ black holes can be obtained by an extremization principle involving a particular combination of anomaly coefficients of the six-dimensional $\mathcal{N} = (2, 0)$ theory. This result extends our previous finding for BPS, rotating AdS$_5 \times S^5$ black holes.
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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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