Built on

A. Ashtekar, New variables for classical and quantum gravity, Phys. Rev. Lett. 57
1982
Earlier work this paper cites.
C. Rovelli and L. Smolin, Discreteness of area and volume in quantum gravity, Nucl. Phys. B 442
1995
Earlier work this paper cites.
S. Holst, Barbero’s Hamiltonian derived from a generalized Hilbert-Palatini action, Phys. Rev. D 53
1996
Earlier work this paper cites.
J. F. Barbero, Real Ashtekar variables for Lorentzian signature space-times, Phys. Rev. D 51
1997
Earlier work this paper cites.
C. Rovelli and L. Smolin, Discreteness of area and volume in quantum gravity, Nucl. Phys. B 442
1998
Earlier work this paper cites.
A. Ashtekar, A. Corichi and K. Krasnov, Isolated horizons: The classical phase space, Adv. Theor. Math. Phys. 3
1999
Earlier work this paper cites.
R. K. Kaul and P. Majumdar, Quantum Black Hole Entropy, Phys. Lett. B 439
2000
Earlier work this paper cites.
E. Buffenoir, K. Noui and P. Roche, Hamiltonian quantization of Chern-Simons theory with SL(2,C) group, Class. Quant. Grav. 19
2002
Earlier work this paper cites.

Similar

S. Alexandrov and D. V. Vassilevich, Path integral for the Hilbert-Palatini and Ashtekar gravity, Phys. Rev. D 58
2003
Cited alongside, same era.
C. Rovelli, Black hole entropy from loop quantum gravity, Phys. Rev. Lett. 77
2008
Cited alongside, same era.
E. R. Livine and D. R. Terno, Quantum black holes: Entropy and entanglement on the horizon, Nucl. Phys. B 741
Original
2008
Cited alongside, same era.
J. Engle, E. R. Livine, R. Pereira and C. Rovelli, LQG vertex with finite Immirzi parameter, Nucl. Phys. B 799
Original
2008
Cited alongside, same era.
E. Witten, Analytic continuation of Chern-Simons theory, (2010), arXiv:1001.2933 [hep-th]
Original
2010
Cited alongside, same era.

Then

Beyond the bibliography

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

Open on alphaXiv

alphaXiv is searching for related work…

Reading the bibliography…

2012

Black Hole Entropy from complex Ashtekar variables

Frodden, Ernesto, Geiller, Marc, Noui, Karim et al.

Understand

In loop quantum gravity, the number $N_\Gamma(A,\gamma)$ of microstates of a black hole for a given discrete geometry $\Gamma$ depends on the so-called Barbero-Immirzi parameter $\gamma$.

Using a suitable analytic continuation of $\gamma$ to complex values, we show that the number $N_\Gamma(A,\pm i)$ of microstates behaves as $\exp(A/(4\ell_\text{Pl}^2))$ for large area $A$ in the large spin semiclassical limit.
Such a correspondence with the semiclassical Bekenstein-Hawking entropy law points towards an unanticipated and remarkable feature of the original complex Ashtekar variables for quantum gravity.

Built on

A. Ashtekar, New variables for classical and quantum gravity, Phys. Rev. Lett. 57
1982
Earlier work this paper cites.
C. Rovelli and L. Smolin, Discreteness of area and volume in quantum gravity, Nucl. Phys. B 442
1995
Earlier work this paper cites.
S. Holst, Barbero’s Hamiltonian derived from a generalized Hilbert-Palatini action, Phys. Rev. D 53
1996
Earlier work this paper cites.
J. F. Barbero, Real Ashtekar variables for Lorentzian signature space-times, Phys. Rev. D 51
1997
Earlier work this paper cites.
C. Rovelli and L. Smolin, Discreteness of area and volume in quantum gravity, Nucl. Phys. B 442
1998
Earlier work this paper cites.
A. Ashtekar, A. Corichi and K. Krasnov, Isolated horizons: The classical phase space, Adv. Theor. Math. Phys. 3
1999
Earlier work this paper cites.
R. K. Kaul and P. Majumdar, Quantum Black Hole Entropy, Phys. Lett. B 439
2000
Earlier work this paper cites.
E. Buffenoir, K. Noui and P. Roche, Hamiltonian quantization of Chern-Simons theory with SL(2,C) group, Class. Quant. Grav. 19
2002
Earlier work this paper cites.