Kerr/CFT correspondence
The Kerr/CFT correspondence is an extension of the AdS/CFT correspondence or gauge-gravity duality to rotating black holes (which are described by the Kerr metric).[1]
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| Fundamental objects |
| Perturbative theory |
| Non-perturbative results |
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The duality works for black holes whose near-horizon geometry can be expressed as a product of AdS3 and a single compact coordinate. The AdS/CFT duality then maps this to a two-dimensional conformal field theory (the compact coordinate being analogous to the S5 factor in Maldacena's original work), from which the correct Bekenstein entropy can then be deduced.[2]
The original form of the duality applies to black holes with the maximum value of angular momentum, but it has now been speculatively extended to all lesser values.[3]
See also
References
- Bredberg, Irene; Keeler, Cynthia; Lysov, Vyacheslav; Strominger, Andrew (2011). "Cargese Lectures on the Kerr/CFT Correspondence". Nuclear Physics B - Proceedings Supplements. 216 (1): 194–210. arXiv:1103.2355. Bibcode:2011NuPhS.216..194B. doi:10.1016/j.nuclphysbps.2011.04.155. S2CID 117563696.
- Compere, Geoffrey (24 February 2009). "Kerr/CFT: A paradigm to understand the entropy of real black holes?". Archived from the original on 23 July 2011. Retrieved 23 July 2011.
- Castro, Alejandra; Maloney, Alexander; Strominger, Andrew (2010). "Hidden Conformal Symmetry of the Kerr Black Hole". Physical Review D. 82 (2): 024008. arXiv:1004.0996. Bibcode:2010PhRvD..82b4008C. doi:10.1103/PhysRevD.82.024008. S2CID 118600898.
External links
- Compère, Geoffrey (2017). "The Kerr/CFT correspondence and its extensions". Living Rev Relativ. 20 (1): 1. Bibcode:2017LRR....20....1C. doi:10.1007/s41114-017-0003-2. PMC 5479153. PMID 28690421.
- Motl, Luboš (2010). Kerr black hole: the CFT entropy works for all M,J
- Guica, Monica; Hartmann, Thomas; Song, Wei; Strominger, Andrew (2009). "The Kerr/CFT correspondence". Phys. Rev. D. 80 (12): 124008. arXiv:0809.4266. Bibcode:2009PhRvD..80l4008G. doi:10.1103/PhysRevD.80.124008. S2CID 15010088.
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