Built on

Achucarro A., Townsend P., “A Chern–Simons action for three-dimensional anti-de Sitter supergravity theories”, Phys.Lett. B 180
1986
Earlier work this paper cites.
Witten E., “2+1 dimensional gravity as an exactly soluble system”, Nucl. Phys. B 311
1988
Earlier work this paper cites.
Verlinde E., “Fusion Rules and Modular Transformations in 2D Conformal Field Theory”, Nucl.Phys. B 300
1988
Earlier work this paper cites.
Witten E., “Quantum field theory and the Jones polynomial”, Commun. Math. Phys. 121
1989
Earlier work this paper cites.
Chary V., Pressley A., “A guide to quantum groups”, Cambridge University Press
1994
Earlier work this paper cites.
A. Ashtekar, J. C. Baez and K. Krasnov, Adv. Theor. Math. Phys. 4
2000
Earlier work this paper cites.
R. K. Kaul and P. Majumdar, “Logarithmic correction to the Bekenstein-Hawking entropy,” Phys. Rev. Lett. 84
R. K. Kaul and P. Majumdar, “Quantum black hole entropy,” Phys. Lett. B 439 · 2001
Earlier work this paper cites.

Similar

A. Ashtekar and B. Krishnan, “Isolated and dynamical horizons and their applications,” Living Rev. Rel. 7
2004
Cited alongside, same era.
M. Domagala and J. Lewandowski, “Black hole entropy from quantum geometry,” Class. Quant. Grav. 21
K. A. Meissner, “Black hole entropy in loop quantum gravity,” Class. Quant. Grav. 21 · 2004
Cited alongside, same era.
A. Ghosh and P. Mitra, “Counting black hole microscopic states in loop quantum gravity,” Phys. Rev. D 74
Original
A. Ghosh and P. Mitra, “Fine-grained state counting for black holes in loop quantum gravity,” Phys. Rev. Lett. 102 · 2005
Cited alongside, same era.
C. Rovelli, “Quantum Gravity,” Cambridge, UK: Univ. Pr. (2004) 455 p
A. Ashtekar and J. Lewandowski, Class. Quant. Grav. 21 · 2007
Cited alongside, same era.
H. Sahlmann, “Toward explaining black hole entropy quantization in loop quantum gravity,” Phys. Rev. D 76
Original
H. Sahlmann, “Entropy calculation for a toy black hole,” Class. Quant. Grav. 25 · 2007

Then

J. Engle, E. Livine, R. Pereira and C. Rovelli, “LQG vertex with finite Immirzi parameter,” Nucl. Phys. B 799
Original
2008
Later among the works it cites.
L. Freidel and K. Krasnov, “A New Spin Foam Model for 4d Gravity,” Class. Quant. Grav. 25
Original
2008
Later among the works it cites.
C. Beetle and J. Engle, “Generic isolated horizons in loop quantum gravity,” Class. Quant. Grav. 27
Original
2010
Later among the works it cites.
J. Engle, A. Perez and K. Noui, “Black hole entropy and SU(2) Chern-Simons theory,” Phys. Rev. Lett. 105
Original
2010
Later among the works it cites.
J. Engle, K. Noui, A. Perez and D. Pranzetti, “Black hole entropy from an SU(2)-invariant formulation of Type I isolated horizons,” Phys. Rev. D 82

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2011

The SU(2) Black Hole entropy revisited

Engle, Jonathan, Noui, Karim, Perez, Alejandro et al.

Understand

We study the state-counting problem that arises in the SU(2) black hole entropy calculation in loop quantum gravity.

More precisely, we compute the leading term and the logarithmic correction of both the spherically symmetric and the distorted SU(2) black holes.
Contrary to what has been done in previous works, we have to take into account "quantum corrections" in our framework in the sense that the level k of the Chern-Simons theory which describes the black hole is finite and not sent to infinity.
Therefore, the new results presented here allow for the computation of the entropy in models where the quantum group corrections are important.

Built on

Achucarro A., Townsend P., “A Chern–Simons action for three-dimensional anti-de Sitter supergravity theories”, Phys.Lett. B 180
1986
Earlier work this paper cites.
Witten E., “2+1 dimensional gravity as an exactly soluble system”, Nucl. Phys. B 311
1988
Earlier work this paper cites.
Verlinde E., “Fusion Rules and Modular Transformations in 2D Conformal Field Theory”, Nucl.Phys. B 300
1988
Earlier work this paper cites.
Witten E., “Quantum field theory and the Jones polynomial”, Commun. Math. Phys. 121
1989
Earlier work this paper cites.
Chary V., Pressley A., “A guide to quantum groups”, Cambridge University Press
1994
Earlier work this paper cites.
A. Ashtekar, J. C. Baez and K. Krasnov, Adv. Theor. Math. Phys. 4
2000
Earlier work this paper cites.
R. K. Kaul and P. Majumdar, “Logarithmic correction to the Bekenstein-Hawking entropy,” Phys. Rev. Lett. 84
R. K. Kaul and P. Majumdar, “Quantum black hole entropy,” Phys. Lett. B 439 · 2001
Earlier work this paper cites.

Similar

A. Ashtekar and B. Krishnan, “Isolated and dynamical horizons and their applications,” Living Rev. Rel. 7
2004
Cited alongside, same era.
M. Domagala and J. Lewandowski, “Black hole entropy from quantum geometry,” Class. Quant. Grav. 21
K. A. Meissner, “Black hole entropy in loop quantum gravity,” Class. Quant. Grav. 21 · 2004
Cited alongside, same era.
A. Ghosh and P. Mitra, “Counting black hole microscopic states in loop quantum gravity,” Phys. Rev. D 74
Original
A. Ghosh and P. Mitra, “Fine-grained state counting for black holes in loop quantum gravity,” Phys. Rev. Lett. 102 · 2005
Cited alongside, same era.
C. Rovelli, “Quantum Gravity,” Cambridge, UK: Univ. Pr. (2004) 455 p
A. Ashtekar and J. Lewandowski, Class. Quant. Grav. 21 · 2007
Cited alongside, same era.
H. Sahlmann, “Toward explaining black hole entropy quantization in loop quantum gravity,” Phys. Rev. D 76
Original
H. Sahlmann, “Entropy calculation for a toy black hole,” Class. Quant. Grav. 25 · 2007

Then

J. Engle, E. Livine, R. Pereira and C. Rovelli, “LQG vertex with finite Immirzi parameter,” Nucl. Phys. B 799
Original
2008
Later among the works it cites.
L. Freidel and K. Krasnov, “A New Spin Foam Model for 4d Gravity,” Class. Quant. Grav. 25
Original
2008
Later among the works it cites.
C. Beetle and J. Engle, “Generic isolated horizons in loop quantum gravity,” Class. Quant. Grav. 27
Original
2010
Later among the works it cites.
J. Engle, A. Perez and K. Noui, “Black hole entropy and SU(2) Chern-Simons theory,” Phys. Rev. Lett. 105
Original
2010
Later among the works it cites.
J. Engle, K. Noui, A. Perez and D. Pranzetti, “Black hole entropy from an SU(2)-invariant formulation of Type I isolated horizons,” Phys. Rev. D 82

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

Cited alongside, same era.

I. Agullo, G. J. Fernando Barbero, E. F. Borja, J. Diaz-Polo and E. J. S. Villasenor, “The combinatorics of the SU(2) black hole entropy in loop quantum gravity,” Phys. Rev. D 80

Original

I. Agullo, J. Fernando Barbero, E. F. Borja, J. Diaz-Polo and E. J. S. Villasenor, “Detailed black hole state counting in loop quantum gravity,” Phys. Rev. D 82 · 2008

Cited alongside, same era.

L. Freidel and E. R. Livine, “The Fine Structure of SU(2) Intertwiners from U(N) Representations,” J. Math. Phys. 51

Original

E. R. Livine and D. R. Terno, “Quantum black holes: Entropy and entanglement on the horizon,” Nucl. Phys. B 741 · 2008

Cited alongside, same era.

A. Perez and D. Pranzetti, “Static isolated horizons: SU(2) invariant phase space, quantization, and black hole entropy,” arXiv:1011.2961 [gr-qc]

Original

Cited in the paper.

Y. Ding, M. Han and C. Rovelli, “Generalized Spinfoams”; [arXiv:gr-qc/10112149]

Original

Cited in the paper.

Original

2010

Later among the works it cites.

C. Meusburger and K. Noui, “Combinatorial quantisation of the Euclidean torus universe,” Nucl. Phys. B 841

Original

2010

Later among the works it cites.