# YTF 20

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
30m
Teams (Centre for Particle Theory, Durham)

### Teams

#### Centre for Particle Theory, Durham

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

### Speaker

Ziruo Zhang (SISSA)

### Description

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.

Are you happy for your talk to be recorded? Yes No 15-25 minutes Yes

### 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

 ytf_slides.pdf Ziruo-Zhang.mp4