Kerr/CFT Correspondence

By Monica Guica, Thomas Hartman, Wei Song, Andrew Strominger. 2008

927 citations recorded by the source corpus.

Quantum gravity in the region very near the horizon of an extreme Kerr black hole (whose angular momentum and mass are related by J=GM{sup 2}) is considered. It is shown that consistent boundary conditions exist, for which the asymptotic symmetry generators form one copy of the Virasoro algebra with central charge c{sub L}=(12J/({Dirac_h}/2{pi})). This implies that the near-horizon quantum states can be identified with those of (a chiral half of) a two-dimensional conformal field theory (CFT). Moreover, in the extreme limit, the Frolov-Thorne vacuum state reduces to a thermal density matrix with dimensionless temperature T{sub L}=(1/2{pi}) and conjugate energy given by the zero mode generator, L{sub 0}, of the Virasoro algebra. Assuming unitarity, the Cardy formula then gives a microscopic entropy S{sub micro}=(2{pi}J/({Dirac_h}/2{pi})) for the CFT, which reproduces the macroscopic Bekenstein-Hawking entropy S{sub macro}=(Area/4({Dirac_h}/2{pi})G). The results apply to any consistent unitary quantum theory of gravity with a Kerr solution. We accordingly conjecture that extreme Kerr black holes are holographically dual to a chiral two-dimensional conformal field theory with central charge c{sub L}=(12J/({Dirac_h}/2{pi})), and, in particular, that the near-extreme black hole GRS 1915+105 is approximately dual to a CFT with c{sub L}{approx}2x10{sup 79}.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/eacd8f3db17f7f2eb38a7d27d8e91be779696426

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Citations in the corpus

Remarks on the necessity and implications of state-dependence in the black hole interior (2015, neutral): “For some more recent applications see [51].”
No dynamics in the extremal Kerr throat (2009, background): “As a result, the Frolov-Thorne vacuum [9] for linear fields discussed in [3] is not well-defined in the extreme Kerr throat [10, 11, 12].”
Near Extremal Kerr Entropy from AdS(2) Quantum Gravity (2009, neutral): “1 acastro@physics.mcgill.ca 2 larsenf@umich.edu”
Black hole superradiance from Kerr/CFT (2009, methodology): “In [1] it was argued, for a certain choice of boundary conditions enforcing M(2) = J , that quantum gravity on NHEK is holographically dual to a chiral half of a two-dimensional CFT.”
Aspects of the BMS/CFT correspondence (2010, methodology): “By adapting the arguments of footnote 6 of [ 13 ] one can then improve the asymptotic symmetry generators through pure gauge transformations in such a way as to remove all singularities in the asymptotic symmetry generators at finite radius.”
Warped Conformal Field Theory (2012, background): “Curiously, this case might be connected with the understanding of Kerr/CFT [45].”
Black hole chemistry: thermodynamics with Lambda (2016, background): “Another related study concerns the Kerr/CFT correspondence [243] for the super-entropic holes discussed in Sec.”
Superradiance (2015, background): “Another important step was done within the so-called Kerr/CFT duality [337] (see also Ref.”
New boundary conditions for AdS3 (2013, background): “Asymptotic boundary conditions have been discussed in these contexts [13–15,18,21, 22, 26–30] which contain one left Virasoro or one right Kac-Moody Virasoro but none with both a simultaneous left and right Virasoro.”
Universal spectrum of 2d conformal field theory in the large c limit (2014, background): “Not to be confused with another common statement that it may apply when there is a ‘small gap’ above the black hole threshold (discussed for example in [5]) suggesting a long string picture.”
Hidden Conformal Symmetry of the Kerr Black Hole (2010, background): “We 1 As mentioned in [2] for extreme Kerr, there may be an underlying ”long string” interpretation [11] involving the J -fold cover of the CFT circle.”
Holographic derivation of Kerr-Newman scattering amplitudes for general charge and spin (2009, methodology): “ωL was derived in [1, 4], TL and μL were derived in (2.”
Stationary Metrics and Optical Zermelo-Randers-Finsler Geometry (2008, methodology): “Recently [60] it has been argued that it is dual to a Conformal Field Theory and the suggested duality has been used to exactly compute the Bekenstein-Hawking entropy of”
Kerr-AdS/CFT correspondence in diverse dimensions (2008, neutral): “22 25 v3 [ he p- It was proposed recently that the near-horizon states of an extremal four-dimensional Kerr black hole could be identified with a certain chiral conformal field theory whose Virasoro algebra arises as an asymptotic symmetry algebra of the near-horizon Kerr geometry.”