The Kerr/CFT correspondence and its extensions: a comprehensive review

Compère, G. and Marolf, D., “Setting the boundary free in AdS/CFT”, Class. Quantum Grav

Original

1902

Earlier work this paper cites.

Compère, G. and Detournay, S., “Semi-classical central charge in topologically massive gravity”, Class. Quantum Grav

Original

1911

Earlier work this paper cites.

Chow, D. D. K. and Compère, G., “Seed for general rotating non-extremal black holes of 𝒩 = 8 \mathcal{N}=8 supergravity”, Class. Quantum Grav

Original

1925

Earlier work this paper cites.

Castro, A. and Song, W., “Comments on A ​ d ​ S 2 AdS_{2} Gravity”, ArXiv e-prints

Original

1948

Earlier work this paper cites.

Yano, K., “Some remarks on tensor fields and curvature”, Ann. Math

1952

Earlier work this paper cites.

Arnowitt, R., Deser, S. and Misner, C. W., “Coordinate Invariance and Energy Expressions in General Relativity”, Phys. Rev

1961

Earlier work this paper cites.

Bondi, H., van der Burg, M. G. J. and Metzner, A. W. K., “Gravitational waves in general relativity. VII. Waves from axisymmetric isolated systems”, Proc. R. Soc. London, Ser. A

1962

Earlier work this paper cites.

Sachs, R. K., “Gravitational waves in general relativity. VIII. Waves in asymptotically flat space-times”, Proc. R. Soc. London, Ser. A

1962

Earlier work this paper cites.

Penrose, R., “Asymptotic Properties of Fields and Space-Times”, Phys. Rev. Lett

1963

Earlier work this paper cites.

Carter, B., “Global Structure of the Kerr Family of Gravitational Fields”, Phys. Rev

1968

Earlier work this paper cites.

Christodoulou, D. and Ruffini, R., “Reversible transformations of a charged black hole”, Phys. Rev. D

1971

Earlier work this paper cites.

Bardeen, J. M., Press, W. H. and Teukolsky, S. A., “Rotating Black Holes: Locally Nonrotating Frames, Energy Extraction, and Scalar Synchrotron Radiation”, Astrophys. J

1972

Earlier work this paper cites.

Bekenstein, J. D., “Black holes and the second law”, Lett. Nuovo Cimento

1972

Earlier work this paper cites.

Geroch, R., “Structure of the Gravitational Field at Spatial Infinity”, J. Math. Phys

1972

Earlier work this paper cites.

Hawking, S. W., “Black Holes in General Relativity”, Commun. Math. Phys

1972

Earlier work this paper cites.

Teukolsky, S. A., “Rotating black holes: Separable wave equations for gravitational and electromagnetic perturbations”, Phys. Rev. Lett

1972

Earlier work this paper cites.

Carter, B., “Black Hole Equilibrium States”, in DeWitt, C. and DeWitt, B.S., eds., Black Holes

1973

Earlier work this paper cites.

Floyd, R., The Dynamics of Kerr Fields

1973

Earlier work this paper cites.

Hawking, S. W. and Ellis, G. F. R., The Large Scale Structure of Space-Time

1973

Earlier work this paper cites.

Penrose, R., “Naked singularities”, Ann. N.Y. Acad. Sci

1973

Earlier work this paper cites.

Press, W. H. and Teukolsky, S. A., “Perturbations of a Rotating Black Hole. II. Dynamical Stability of the Kerr Metric”, Astrophys. J

1973

Earlier work this paper cites.

Starobinskii, A. A., “Amplification of waves during reflection from a rotating ‘black hole”’, J. Exp. Theor. Phys

1973

Earlier work this paper cites.

Teukolsky, S. A., “Perturbations of a rotating black hole. I. Fundamental equations for gravitational, electromagnetic, and neutrino-field perturbations”, Astrophys. J

1973

Earlier work this paper cites.

Regge, T. and Teitelboim, C., “Role of surface integrals in the Hamiltonian formulation of general relativity”, Ann. Phys. (N.Y.)

1974

Earlier work this paper cites.

Starobinskii, A. A. and Churilov, S. M., “Amplification of electromagnetic and gravitational waves scattered by a rotating ‘black hole”’, J. Exp. Theor. Phys

1974

Earlier work this paper cites.

Teukolsky, S. A. and Press, W. H., “Perturbations of a rotating black hole. III. Interaction of the hole with gravitational and electromagnetic radiation”, Astrophys. J

1974

Earlier work this paper cites.

Thorne, K. S., “Disk-accretion onto a black hole. II. Evolution of the hole”, Astrophys. J

1974

Earlier work this paper cites.

Chrzanowski, P. L., “Vector Potential and Metric Perturbations of a Rotating Black Hole”, Phys. Rev. D

1975

Earlier work this paper cites.

Cohen, J. M. and Kegeles, L. S., “Space-time perturbations”, Phys. Lett. A

1975

Earlier work this paper cites.

Hawking, S. W., “Particle Creation by Black Holes”, Commun. Math. Phys

1975

Earlier work this paper cites.

Piran, T. and Shaham, J., “Upper Bounds on Collisional Penrose Processes Near Rotating Black Hole Horizons”, Phys. Rev. D

1977

Earlier work this paper cites.

Ashtekar, A. and Hansen, R. O., “A unified treatment of null and spatial infinity in general relativity. I. Universal structure, asymptotic symmetries, and conserved quantities at spatial infinity”, J. Math. Phys

1978

Earlier work this paper cites.

McNamara, J. M., “Instability of Black Hole Inner Horizons”, Proc. R. Soc. London, Ser. A

1978

Earlier work this paper cites.

Curir, A., “Spin entropy of a rotating black hole”, Nuovo Cimento B

1979

Earlier work this paper cites.

Curir, A. and Francaviglia, M., “Spin thermodynamics of a Kerr black hole”, Nuovo Cimento B

1979

Earlier work this paper cites.

Abbott, L. F. and Deser, S., “Stability of gravity with a cosmological constant”, Nucl. Phys. B

1982

Earlier work this paper cites.

Birrell, N. D. and Davies, P. C. W., Quantum fields in curved space

1982

Earlier work this paper cites.

Breitenlohner, P. and Freedman, D. Z., “Positive Energy in Anti-de Sitter Backgrounds and Gauged Extended Supergravity”, Phys. Lett. B

1982

Earlier work this paper cites.

Breitenlohner, P. and Freedman, D. Z., “Stability in Gauged Extended Supergravity”, Ann. Phys. (N.Y.)

1982

Earlier work this paper cites.

Chandrasekhar, S., The Mathematical Theory of Black Holes

1983

Earlier work this paper cites.

Ashtekar, A. and Magnon, A., “Asymptotically anti-de Sitter space-times”, Class. Quantum Grav

1984

Earlier work this paper cites.

Fefferman, C. and Robin Graham, C., “Conformal Invariants”, in Élie Cartan et les mathématiques d’aujourd’hui

1985

Earlier work this paper cites.

Blöte, H. W. J., Cardy, J. L. and Nightingale, M. P., “Conformal Invariance, the Central Charge, and Universal Finite-Size Amplitudes at Criticality”, Phys. Rev. Lett

1986

Earlier work this paper cites.

Brown, J. D. and Henneaux, M., “On the Poisson brackets of differentiable generators in classical field theory”, J. Math. Phys

1986

Earlier work this paper cites.

Cardy, J. L., “Operator Content of Two-dimensional Conformally Invariant Theories”, Nucl. Phys. B

1986

Earlier work this paper cites.

Henneaux, M., “Asymptotically anti-de Sitter universes in d = 3, 4 and higher dimensions”, in Ruffini, R., ed., Proceedings of the Fourth Marcel Grossmann Meeting on General Relativity

1986

Earlier work this paper cites.

Futterman, J. A. H., Handler, F. A. and Matzner, R. A., Scattering from Black Holes

1988

Earlier work this paper cites.

Ginsparg, P. H., “Applied Conformal Field Theory”, arXiv

1988

Earlier work this paper cites.

Polchinski, J., “Scale and Conformal Invariance in Quantum Field Theory”, Nucl. Phys. B

1988

Earlier work this paper cites.

Frolov, V. P. and Thorne, K. S., “Renormalized stress-energy tensor near the horizon of a slowly evolving, rotating black hole”, Phys. Rev. D

1989

Earlier work this paper cites.

Klemm, A. and Schmidt, M. G., “Orbifolds by cyclic permutations of tensor product conformal field theories”, Phys. Lett. B

1990

Earlier work this paper cites.

Lee, J. and Wald, R. M., “Local symmetries and constraints”, J. Math. Phys

1990

Earlier work this paper cites.

Ashtekar, A., Bombelli, L. and Reula, O. A., “The covariant phase space of asymptotically flat gravitational fields”, in Francaviglia, M. and Holm, D., eds., Mechanics, Analysis and Geometry: 200 Years after Lagrange

1991

Earlier work this paper cites.

Guica, M., Skenderis, K., Taylor, M. and van Rees, B. C., “Holography for Schrödinger backgrounds”, J. High Energy Phys

Original

1991

Earlier work this paper cites.

Kay, B. S. and Wald, R. M., “Theorems on the Uniqueness and Thermal Properties of Stationary, Nonsingular, Quasifree States on Space-Times with a Bifurcate Killing Horizon”, Phys. Rep

1991

Earlier work this paper cites.

Ashtekar, A. and Romano, J. D., “Spatial infinity as a boundary of spacetime”, Class. Quantum Grav

1992

Earlier work this paper cites.

Bañados, M., Teitelboim, C. and Zanelli, J., “Black hole in three-dimensional spacetime”, Phys. Rev. Lett

1992

Earlier work this paper cites.

Hajian, K., Seraj, A. and Sheikh-Jabbari, M. M., “Near Horizon Extremal Geometry Perturbations: Dynamical Field Perturbations vs. Parametric Variations”, J. High Energy Phys

Original

1992

Earlier work this paper cites.

Okamoto, I. and Kaburaki, O., “The ‘inner-horizon thermodynamics’ of Kerr black holes”, Mon. Not. R. Astron. Soc

1992

Earlier work this paper cites.

Sudarsky, D. and Wald, R. M., “Extrema of mass, stationarity, and staticity, and solutions to the Einstein-Yang-Mills equations”, Phys. Rev

1992

Earlier work this paper cites.

Bañados, M., Henneaux, M., Teitelboim, C. and Zanelli, J., “Geometry of the (2+1) black hole”, Phys. Rev

1993

Earlier work this paper cites.

Gibbons, G. W., Rietdijk, R. H. and van Holten, J. W., “SUSY in the sky”, Nucl. Phys. B

1993

Earlier work this paper cites.

Nutku, Y., “Exact solutions of topologically massive gravity with a cosmological constant”, Class. Quantum Grav

1993

Earlier work this paper cites.

’t Hooft, Gerard, “Dimensional reduction in quantum gravity”, in Salamfest 1993:0284-296

1993

Earlier work this paper cites.

Wald, R. M., “Black hole entropy is the Noether charge”, Phys. Rev. D

1993

Earlier work this paper cites.

Chruściel, P. T. and Wald, R. M., “Maximal hypersurfaces in asymptotically stationary space-times”, Commun. Math. Phys

1994

Earlier work this paper cites.

Coussaert, O. and Henneaux, M., “Self-dual solutions of 2+1 Einstein gravity with a negative cosmological constant”, arXiv

1994

Earlier work this paper cites.

Dowker, F., Gauntlett, J. P., Giddings, S. B. and Horowitz, G. T., “On pair creation of extremal black holes and Kaluza-Klein monopoles”, Phys. Rev. D

1994

Earlier work this paper cites.

Gürses, M., “Perfect fluid sources in 2+1 dimensions”, Class. Quantum Grav

1994

Earlier work this paper cites.

Iyer, V. and Wald, R. M., “Some properties of Noether charge and a proposal for dynamical black hole entropy”, Phys. Rev. D

1994

Earlier work this paper cites.

Jacobson, T. A., Kang, G. and Myers, R. C., “On black hole entropy”, Phys. Rev

1994

Earlier work this paper cites.

Brady, P. R. and Chambers, C. M., “Nonlinear instability of Kerr-type Cauchy horizons”, Phys. Rev

1995

Earlier work this paper cites.

Brady, P. R. and Smith, J. D., “Black Hole Singularities: A Numerical Approach”, Phys. Rev. Lett

1995

Earlier work this paper cites.

Ferrara, S., Kallosh, R. E. and Strominger, A., “ N = 2 N=2 extremal black holes”, Phys. Rev. D

1995

Earlier work this paper cites.

Susskind, Leonard, “The World as a hologram”, J. Math. Phys

1995

Earlier work this paper cites.

Callan, C. G. and Maldacena, J. M., “D-brane Approach to Black Hole Quantum Mechanics”, Nucl. Phys. B

1996

Earlier work this paper cites.

Cvetič, M. and Youm, D., “General rotating five-dimensional black holes of toroidally compactified heterotic string”, Nucl. Phys. B

1996

Earlier work this paper cites.

Ferrara, S. and Kallosh, R. E., “Supersymmetry and attractors”, Phys. Rev. D

1996

Earlier work this paper cites.

Hawking, S. W. and Horowitz, G. T., “The gravitational Hamiltonian, action, entropy and surface terms”, Class. Quantum Grav

1996

Earlier work this paper cites.

Horowitz, G. T., Lowe, D. A. and Maldacena, J. M., “Statistical Entropy of Nonextremal Four-Dimensional Black Holes and U U Duality”, Phys. Rev. Lett

1996

Earlier work this paper cites.

Kostelecky, V. A. and Perry, M. J., “Solitonic black holes in gauged N = 2 N=2 supergravity”, Phys. Lett. B

1996

Earlier work this paper cites.

Maldacena, J. M. and Susskind, L., “D-branes and fat black holes”, Nucl. Phys. B

1996

Earlier work this paper cites.

Strominger, A., “Macroscopic entropy of N = 2 N=2 extremal black holes”, Phys. Lett. B

1996

Earlier work this paper cites.

Strominger, A. and Vafa, C., “Microscopic origin of the Bekenstein–Hawking entropy”, Phys. Lett. B

1996

Earlier work this paper cites.

Cvetič, M. and Larsen, F., “General rotating black holes in string theory: Grey body factors and event horizons”, Phys. Rev. D

1997

Earlier work this paper cites.

Cvetič, M. and Larsen, F., “Greybody factors for rotating black holes in four dimensions”, Nucl. Phys. B

1997

Earlier work this paper cites.

Dabholkar, A., “Microstates of non-supersymmetric black holes”, Phys. Lett. B

1997

Earlier work this paper cites.

Di Francesco, P., Mathieu, P. and Sénéchal, D., Conformal Field Theory

1997

Earlier work this paper cites.

Ferrara, S., Gibbons, G. W. and Kallosh, R. E., “Black holes and critical points in moduli space”, Nucl. Phys. B

1997

Earlier work this paper cites.

Gubser, S. S., “Can the effective string see higher partial waves?”, Phys. Rev. D

1997

Earlier work this paper cites.

Kaplan, D. M., Lowe, D. A., Maldacena, J. M. and Strominger, A., “Microscopic entropy of N = 2 N=2 extremal black holes”, Phys. Rev. D

1997

Earlier work this paper cites.

Larsen, F., “A String model of black hole microstates”, Phys. Rev. D

1997

Earlier work this paper cites.

Maldacena, J. M. and Strominger, A., “Universal low-energy dynamics for rotating black holes”, Phys. Rev. D

1997

Earlier work this paper cites.

Maldacena, J. M., Strominger, A. and Witten, E., “Black hole entropy in M theory”, J. High Energy Phys

1997

Earlier work this paper cites.

Seiberg, N., “Why is the matrix model correct?”, Phys. Rev. Lett

1997

Earlier work this paper cites.

Townsend, P. K., “Black holes”, arXiv

1997

Earlier work this paper cites.

Brady, P. R., Droz, S. and Morsink, S. M., “Late-time singularity inside nonspherical black holes”, Phys. Rev. D

1998

Earlier work this paper cites.

Carlip, S., “What we don’t know about BTZ black hole entropy”, Class. Quantum Grav

1998

Earlier work this paper cites.

Cvetič, M. and Larsen, F., “Greybody factors for black holes in four-dimensions: Particles with spin”, Phys. Rev. D

1998

Earlier work this paper cites.

Gubser, S. S., Dynamics of D-brane black holes

1998

Earlier work this paper cites.

Maldacena, J. M., “The large N N limit of superconformal field theories and supergravity”, Adv. Theor. Math. Phys

1998

Earlier work this paper cites.

Maldacena, J. M., “The Large- N N Limit of Superconformal Field Theories and Supergravity”, Adv. Theor. Math. Phys

1998

Earlier work this paper cites.

Maldacena, J. M. and Strominger, A., “ A ​ d ​ S 3 AdS_{3} black holes and a stringy exclusion principle”, J. High Energy Phys

1998

Earlier work this paper cites.

Mathur, S. D., “Absorption of angular momentum by black holes and D-branes”, Nucl. Phys. B

1998

Earlier work this paper cites.

Polchinski, J., String Theory. Vol. 1: An Introduction to the Bosonic String

1998

Earlier work this paper cites.

Rooman, M. and Spindel, P., “Gödel metric as a squashed anti-de Sitter geometry”, Class. Quantum Grav

1998

Earlier work this paper cites.

Strominger, A., “Black hole entropy from near-horizon microstates”, J. High Energy Phys

1998

Earlier work this paper cites.

Witten, E., “Anti-de Sitter space and holography”, Adv. Theor. Math. Phys

1998

Earlier work this paper cites.

Youm, D., “Entropy of nonextreme rotating black holes in string theories”, Nucl. Phys. B

1998

Earlier work this paper cites.

Ashtekar, A., Beetle, C. and Fairhurst, S., “Isolated horizons: a generalization of black hole mechanics”, Class. Quantum Grav

1999

Earlier work this paper cites.

Bañados, M., “Embeddings of the Virasoro algebra and black hole entropy”, Phys. Rev. Lett

1999

Earlier work this paper cites.

Bardeen, J. M. and Horowitz, G. T., “Extreme Kerr throat geometry: A vacuum analog of A ​ d ​ S 2 × S 2 AdS_{2}\times S^{2} ”, Phys. Rev. D

1999

Earlier work this paper cites.

Carlip, S., “Black hole entropy from conformal field theory in any dimension”, Phys. Rev. Lett

1999

Earlier work this paper cites.

Chamblin, A., Emparan, R., Johnson, C. V. and Myers, R. C., “Charged AdS black holes and catastrophic holography”, Phys. Rev. D

1999

Earlier work this paper cites.

Cvetič, M. et al., “Embedding AdS black holes in ten and eleven dimensions”, Nucl. Phys. B

1999

Earlier work this paper cites.

de Boer, J., “Six-dimensional supergravity on S 3 × A ​ d ​ S 3 S^{3}\times AdS_{3} and 2d conformal field theory”, Nucl. Phys. B

1999

Earlier work this paper cites.

Dijkgraaf, R., “Instanton strings and hyperKahler geometry”, Nucl. Phys. B

1999

Earlier work this paper cites.

Duff, M. J., Lü, H. and Pope, C. N., “ A ​ d ​ S 3 × S 3 AdS_{3}\times S^{3} (un)twisted and squashed, and an O ⁡ ( 2 , 2 , Z ) O(2,2,Z) multiplet of dyonic strings”, Nucl. Phys. B

1999

Earlier work this paper cites.

Friedrich, H., Rácz, I. and Wald, R. M., “On the Rigidity Theorem for Spacetimes with a Stationary Event Horizon or a Compact Cauchy Horizon”, Commun. Math. Phys

1999

Earlier work this paper cites.

Lopes Cardoso, G., de Wit, B. and Mohaupt, T., “Corrections to macroscopic supersymmetric black hole entropy”, Phys. Lett. B

1999

Earlier work this paper cites.

Maldacena, J. M., Michelson, J. and Strominger, A., “Anti-de Sitter fragmentation”, J. High Energy Phys

1999

Earlier work this paper cites.

Solodukhin, S. N., “Conformal description of horizon’s states”, Phys. Lett. B

1999

Earlier work this paper cites.

Spradlin, M. and Strominger, A., “Vacuum states for A ​ d ​ S 2 AdS_{2} black holes”, J. High Energy Phys

1999

Cited alongside, same era.

Strominger, A., “AdS 2

1999

Cited alongside, same era.

Ashtekar, A., Beetle, C., Dreyer, O., Fairhurst, S., Krishnan, B., Lewandowski, J. and Wisniewski, J., “Generic Isolated Horizons and Their Applications”, Phys. Rev. Lett

2000

Cited alongside, same era.

Caldarelli, M. M., Cognola, G. and Klemm, D., “Thermodynamics of Kerr-Newman-AdS black holes and conformal field theories”, Class. Quantum Grav

2000

Cited alongside, same era.

Hawking, S. W. and Reall, H. S., “Charged and rotating AdS black holes and their CFT duals”, Phys. Rev. D

2000

Cited alongside, same era.

Matsuo, Y., Tsukioka, T. and Yoo, C.-M., “Another Realization of Kerr/CFT Correspondence”, Nucl. Phys. B

Original

2010

Later among the works it cites.

Matsuo, Y., Tsukioka, T. and Yoo, C.-M., “Yet Another Realization of Kerr/CFT Correspondence”, Europhys. Lett

Original

2010

Later among the works it cites.

Mei, J., “The Entropy for General Extremal Black Holes”, J. High Energy Phys

Original

2010

Later among the works it cites.

Rasmussen, J., “Isometry-preserving boundary conditions in the Kerr/CFT correspondence”, Int. J. Mod. Phys. A

Original

2010

Later among the works it cites.

Wang, Y.-Q. and Liu, Y.-X., “Hidden Conformal Symmetry of the Kerr-Newman Black Hole”, J. High Energy Phys