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]

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]

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.{{cite journal}}: CS1 maint: article number as page number (link)