Dec 15 – 16, 2020
Centre for Particle Theory, Durham
Europe/London timezone

Black hole entropy from superconformal indices and a glimpse of black holes in AdS_5 x T^{1,1}

Dec 16, 2020, 12:30 PM
Teams (Centre for Particle Theory, Durham)


Centre for Particle Theory, Durham

IPPP & Dept. Mathematical Sciences Durham University South Road Durham DH1 3LE


Ziruo Zhang (SISSA)


The large N limit of the four-dimensional superconformal index has been computed and successfully compared to the entropy of a class of AdS$_5$ black holes only in the particular case of equal angular momenta. Using the Bethe ansatz formulation of the index, we found a particular universal contribution to the sum over Bethe vacua that correctly leads to the entropy of BPS Kerr–Newman black holes in AdS$_5\times$S$^5$ for arbitrary values of the conserved charges, thus completing the microscopic derivation of their microstates. We also consider theories dual to AdS$_5\times$SE$_5$, where SE$_5$ is a Sasaki–Einstein manifold. In particular, we explicitly constructed the near-horizon geometry of as yet unkown BPS Kerr–Newman black holes in AdS$_5\times$T$^{1,1}$. The entropies of these black holes were computed using the attractor mechanism and we found complete agreement with predictions from the index.

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Primary authors

Ziruo Zhang (SISSA) Prof. Francesco Benini (SISSA, ICTP, INFN, Sezione di Trieste) Prof. Alberto Zaffaroni (Università di Milano-Bicocca, INFN, Sezione di Milano-Bicocca) Mr Saman Soltani (SISSA, INFN, Sezione di Trieste) Mr Edoardo Colombo (Università di Milano-Bicocca)

Presentation materials