Kerr/CFT correspondence explained

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]

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

• AdS black hole

External links

• Compère . Geoffrey . 2017 . The Kerr/CFT correspondence and its extensions . Living Rev Relativ . 20 . 1 . 1. 10.1007/s41114-017-0003-2 . 28690421 . 5479153 . 2017LRR....20....1C .
• Motl, Luboš (2010). Kerr black hole: the CFT entropy works for all M,J
• 0809.4266 . The Kerr/CFT correspondence. 10.1103/PhysRevD.80.124008. 2009. Guica. Monica. Hartman. Thomas. Song. Wei. Strominger. Andrew. Phys. Rev. D. 80. 12. 124008 . 2009PhRvD..80l4008G . 15010088.

Notes and References

1. Bredberg . Irene . Keeler . Cynthia . Lysov . Vyacheslav . Strominger . Andrew . 1103.2355 . Cargese Lectures on the Kerr/CFT Correspondence . 2011 . 10.1016/j.nuclphysbps.2011.04.155 . 216 . 1 . Nuclear Physics B - Proceedings Supplements . 194–210. 2011NuPhS.216..194B . 117563696 .
2. Web site: Kerr/CFT: A paradigm to understand the entropy of real black holes? . Compere . Geoffrey . 23 July 2011 . 24 February 2009 . dead . https://web.archive.org/web/20110723231818/http://www.nonequilibrium.net/kerrcft-paradigm-understand-entropy-real-black-holes/ . 23 July 2011 .
3. 1004.0996 . 2010 . Hidden Conformal Symmetry of the Kerr Black Hole . Castro . Alejandra . Maloney . Alexander . Strominger . Andrew . 10.1103/PhysRevD.82.024008 . 82 . 2 . 024008 . Physical Review D. 2010PhRvD..82b4008C . 118600898 .