Gravitational Cardy limit and AdS black hole entropy
- PDF / 734,026 Bytes
- 55 Pages / 595.276 x 841.89 pts (A4) Page_size
- 48 Downloads / 262 Views
Springer
Received: August 12, 2020 Accepted: October 4, 2020 Published: November 10, 2020
Marina David,a Jun Niana and Leopoldo A. Pando Zayasa,b a
Leinweber Center for Theoretical Physics, University of Michigan, Ann Arbor, MI 48109, U.S.A. b The Abdus Salam International Centre for Theoretical Physics, 34014 Trieste, Italy
E-mail: [email protected], [email protected], [email protected] Abstract: We explore the gravitational implementation of the field theory Cardy-like limit recently used in the successful microstate countings of AdS black hole entropy in various dimensions. On the field theory side, the Cardy-like limit focuses on a particular scaling of conserved electric charges and angular momenta and we first translate this scaling to the gravitational side by a limiting procedure on the black hole parameters. We note that the scaling naturally accompanies a near-horizon region for which these black hole solutions are greatly simplified. Applying the Kerr/CFT correspondence to the near-horizon region, we precisely reproduce the Bekenstein-Hawking entropy of asymptotically AdS 4,5,6,7 BPS black holes. Our results explicitly provide a microscopic and universal low energy description for AdS black holes across various dimensions. Keywords: AdS-CFT Correspondence, Black Holes in String Theory, Black Holes ArXiv ePrint: 2005.10251
c The Authors. Open Access, Article funded by SCOAP3 .
https://doi.org/10.1007/JHEP11(2020)041
JHEP11(2020)041
Gravitational Cardy limit and AdS black hole entropy
Contents 1 Introduction
1 4 4 7 8 10 13
3 Asymptotically AdS4 black holes 3.1 AdS4 black hole solution 3.2 Gravitational Cardy limit 3.3 Black hole solution in the near-horizon + gravitational Cardy limit 3.4 Black hole entropy from Cardy formula 3.5 Comparison with results from boundary CFT
14 15 16 17 18 19
4 Asymptotically AdS7 black holes 4.1 A special case 4.1.1 AdS7 black hole solution 4.1.2 Gravitational Cardy limit 4.1.3 Black hole solution in the near-horizon + gravitational Cardy limit 4.1.4 Black hole entropy from Cardy formula 4.1.5 Comparison with results from boundary CFT 4.2 More general case 4.2.1 AdS7 black hole solution 4.2.2 Gravitational Cardy limit 4.2.3 Black hole solution in the near-horizon limit 4.2.4 Black hole entropy from Cardy formula 4.2.5 Comparison with results from boundary CFT
20 20 20 23 24 24 25 26 26 29 30 32 32
5 Asymptotically AdS6 black holes 5.1 AdS6 black hole solution 5.2 Gravitational Cardy limit 5.3 Black hole solution in the near-horizon + gravitational Cardy limit 5.4 Black hole entropy from Cardy formula 5.5 Comparison with results from boundary CFT
32 33 35 36 37 38
6 Discussion
38
–i–
JHEP11(2020)041
2 Asymptotically AdS5 black holes 2.1 AdS5 black hole solution 2.2 Gravitational Cardy limit 2.3 Black hole solution in the near-horizon + gravitational Cardy limit 2.4 Black hole entropy from Cardy formula 2.5 Comparison with results from boundary CFT
A Verifying the equations of motion for the near-horizon A.1 AdS5 A.2 AdS4 A.3 AdS7 A.4 AdS6
1
41 41 43 45
Data Loading...
