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A quantum isolated horizon can be modeled by an SU(2) Chern-Simons theory on a punctured 2-sphere.
J. D. Bekenstein, “Black holes and entropy,” Phys. Rev. D 7
1973
Earlier work this paper cites.
S. W. Hawking, “Black Holes and Thermodynamics,” Phys. Rev. D 13
S. W. Hawking, “Particle Creation By Black Holes,” Commun. Math. Phys. 43 · 1976
Earlier work this paper cites.
S. Deser, R. Jackiw and G. ’t Hooft, “Three-Dimensional Einstein Gravity: Dynamics of Flat Space,” Annals Phys. 152
1984
Earlier work this paper cites.
A. Ashtekar, “New Variables for Classical and Quantum Gravity,” Phys. Rev. Lett. 57
1986
Earlier work this paper cites.
J. D. Brown and M. Henneaux, “Central Charges in the Canonical Realization of Asymptotic Symmetries: An Example from Three-Dimensional Gravity,” Commun. Math. Phys. 104
1986
Earlier work this paper cites.
J. L. Cardy, “Operator Content of Two-Dimensional Conformally Invariant Theories,” Nucl. Phys. B 270
1986
Earlier work this paper cites.
P. Goddard and D. I. Olive, “Kac-Moody and Virasoro Algebras in Relation to Quantum Physics,” Int. J. Mod. Phys. A 1
1986
Earlier work this paper cites.
P. Goddard, A. Kent and D. I. Olive, “Unitary Representations of the Virasoro and Supervirasoro Algebras,” Commun. Math. Phys. 103
1986
Earlier work this paper cites.
T. Jacobson and L. Smolin, “Covariant Action for Ashtekar’s Form of Canonical Gravity,” Class. Quant. Grav. 5
1988
Earlier work this paper cites.
E. Witten, “Quantum Field Theory and the Jones Polynomial,” Commun. Math. Phys. 121
1989
Earlier work this paper cites.
S. Elitzur, G. W. Moore, A. Schwimmer and N. Seiberg, “Remarks on the Canonical Quantization of the Chern-Simons-Witten Theory,” Nucl. Phys. B 326
1989
Earlier work this paper cites.
E. Guadagnini, M. Martellini and M. Mintchev, “Braids and Quantum Group Symmetry in Chern-Simons Theory,” Nucl. Phys. B 336
E. Guadagnini, M. Martellini and M. Mintchev, “Wilson Lines in Chern-Simons Theory and Link Invariants,” Nucl. Phys. B 330 · 1990
Earlier work this paper cites.
B. L. Feigin and E. V. Frenkel, “Representations of affine Kac-Moody algebras, bosonization and resolutions,” Lett. Math. Phys. 19
M. Wakimoto, “Fock representations of the affine lie algebra A1(1),” Commun. Math. Phys. 104 · 1990
Earlier work this paper cites.
A. P. Balachandran, G. Bimonte, K. S. Gupta and A. Stern, “The Chern-Simons source as a conformal family and its vertex operators,” Int. J. Mod. Phys. A 7
A. P. Balachandran, G. Bimonte, K. S. Gupta and A. Stern, “Conformal edge currents in Chern-Simons theories,” Int. J. Mod. Phys. A 7 · 1992
Earlier work this paper cites.
S. Carlip, “The Statistical mechanics of the (2+1)-dimensional black hole,” Phys. Rev. D 51
1995
Earlier work this paper cites.
P. Di Francesco, P. Mathieu and D. Senechal, “Conformal field theory,” New York, USA: Springer (1997) 890 p
1997
Earlier work this paper cites.
A. Strominger, “Black hole entropy from near horizon microstates,” JHEP 9802
1998
Cited alongside, same era.
R. K. Kaul and P. Majumdar, “Quantum black hole entropy,” Phys. Lett. B 439
1998
Cited alongside, same era.
S. Carlip, “Entropy from conformal field theory at Killing horizons,” Class. Quant. Grav. 16
S. Carlip, “Black hole entropy from conformal field theory in any dimension,” Phys. Rev. Lett. 82 · 1999
Cited alongside, same era.
S. N. Solodukhin, “Conformal description of horizon’s states,” Phys. Lett. B 454
1999
Cited alongside, same era.
A. Ashtekar, J.C. Baez and K. Krasnov, “Quantum geometry of isolated horizons and black hole entropy,” Adv. Theor. Math. Phys. 4
A. Ashtekar, J. Baez, A. Corichi and K. Krasnov, “Quantum geometry and black hole entropy,” Phys. Rev. Lett. 80 · 2000
Cited alongside, same era.
J. Engle, K. Noui, A. Perez, D. Pranzetti, “The SU(2) Black Hole entropy revisited,” JHEP 1105
2011
Later among the works it cites.
2011
Later among the works it cites.
S. Carlip, “Symmetries, Horizons, and Black Hole Entropy,” Gen. Rel. Grav. 39
2011
Later among the works it cites.
H. Sahlmann, “Black hole horizons from within loop quantum gravity,” Phys. Rev. D 84
2011
Later among the works it cites.
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J. Samuel, “Is Barbero’s Hamiltonian formulation a gauge theory of Lorentzian gravity?,” Class. Quant. Grav. 17
2000
Cited alongside, same era.
D. Birmingham, K. S. Gupta and S. Sen, “Near horizon conformal structure of black holes,” Phys. Lett. B 505
2001
Cited alongside, same era.
K. A. Meissner, “Black hole entropy in loop quantum gravity,” Class. Quant. Grav. 21
M. Domagala and J. Lewandowski, “Black hole entropy from quantum geometry,” Class. Quant. Grav. 21 · 2004
Cited alongside, same era.
K. Noui and A. Perez, “three-dimensional loop quantum gravity: Physical scalar product and spin foam models,” Class. Quant. Grav. 22
2005
Cited alongside, same era.
K. Noui and A. Perez, “Three-dimensional loop quantum gravity: Coupling to point particles,” Class. Quant. Grav. 22
2005
Cited alongside, same era.
A. Ghosh and P. Mitra, “Counting black hole microscopic states in loop quantum gravity,” Phys. Rev. D 74
A. Ghosh and P. Mitra, “An improved lower bound on black hole entropy in the quantum geometry approach,” Phys. Lett. B 616 · 2006
Cited alongside, same era.
W. Donnelly, “Entanglement entropy in loop quantum gravity,” Phys. Rev. D 77
2008
Cited alongside, same era.
A. Perez and D. Pranzetti, “Static isolated horizons: SU(2) invariant phase space, quantization, and black hole entropy,” Entropy 13 · 2011
Later among the works it cites.
2012
Later among the works it cites.
2012
Later among the works it cites.
D. Pranzetti, “Radiation from quantum weakly dynamical horizons in LQG,” Phys. Rev. Lett. 109
2012
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N. Bodendorfer, Y. Neiman, “Imaginary action, spinfoam asymptotics and the ’transplanckian’ regime of loop quantum gravity,” Class. Quant. Grav. 30
2013
Later among the works it cites.
D. Pranzetti, “Dynamical evaporation of quantum horizons,” Class. Quant. Grav. 30
2013
Later among the works it cites.
D. Pranzetti, “Geometric temperature and entropy of quantum isolated horizons,” Phys. Rev. D 89
2014
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D. Pranzetti, “Turaev-Viro amplitudes from 2+1 Loop Quantum Gravity,” Phys. Rev. D 89
K. Noui, A. Perez and D. Pranzetti, “Canonical quantization of non-commutative holonomies in 2+1 loop quantum gravity,” JHEP 1110 · 2014
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H. Sahlmann and D. Pranzetti, in preparation (2014)
2014
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2014
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