Quantum geometry of isolated horizons and black hole entropy

@article{Ashtekar2000QuantumGO,
  title={Quantum geometry of isolated horizons and black hole entropy},
  author={Abhay Ashtekar and John C. Baez and Kirill Krasnov},
  journal={Advances in Theoretical and Mathematical Physics},
  year={2000},
  volume={4},
  pages={1-94}
}
Using the earlier developed classical Hamiltonian framework as the point of departure, we carry out a non-perturbative quantization of the sector of general relativity, coupled to matter, admitting non-rotating isolated horizons as inner boundaries. The emphasis is on the quantum geometry of the horizon. Polymer excitations of the bulk quantum geometry pierce the horizon endowing it with area. The intrinsic geometry of the horizon is then described by the quantum Chern-Simons theory of a U(1… 

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TLDR
This work argues that for a (macroscopically) Schwarzschild black hole this ensemble is formed by horizons with the same area, and obtains a statistical entropy proportional to the area, as in the Bekenstein-Hawking formula.
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