AdS black holes, holography and localization
- PDF / 1,192,078 Bytes
- 79 Pages / 439.37 x 666.142 pts Page_size
- 6 Downloads / 284 Views
(0123456789().,-volV)(0123456789().,-volV)
REVIEW ARTICLE
AdS black holes, holography and localization Alberto Zaffaroni1,2 Received: 2 February 2020 / Accepted: 1 July 2020 Ó The Author(s) 2020
Abstract I review some recent progresses in counting the number of microstates of AdS supersymmetric black holes in dimension equal or greater than four using holography. The counting is obtained by applying localization and matrix model techniques to the dual field theory. I cover in details the case of dyonic AdS4 black holes, corresponding to a twisted compactification of the dual field theory, and I discuss the state of the art for rotating AdS5 black holes. Keywords Black hole entropy Holography AdS/CFT
Contents 1 2
3
Introduction............................................................................................................................... 1.1 Content of the review ...................................................................................................... AdS black holes in d 4 ........................................................................................................ 2.1 AdS black holes and holography .................................................................................... 2.1.1 Kerr–Newman black holes and generalizations ............................................. 2.1.2 Magnetically charged black holes with a twist.............................................. 2.2 Computing the entropy .................................................................................................... 2.2.1 The grand canonical partition function .......................................................... 2.2.2 The supersymmetric index.............................................................................. 2.3 Entropy functionals and the attractor mechanism .......................................................... 2.4 I-extremization ................................................................................................................ The topologically twisted index............................................................................................... 3.1 The topological twist ....................................................................................................... 3.2 The localization formula ................................................................................................. 3.2.1 The BPS locus................................................................................................. 3.2.2 The integrand................................................................................................... 3.2.3 The contour .....................................................................................................
& Alberto Zaffaroni [email protected] 1
Dipartimento di Fisica, Universita` di Milano - Bicocca, 20126 Milan, Italy
2
INFN, Sezione di Milano-Bicocca, 20126 Milan, Italy
123
A. Zaffaroni
3.2.4 Adding flavor fugacities .............................................................
Data Loading...
