Isolated Horizons and Black Hole Entropy in Loop Quantum Gravity

@article{DazPolo2012IsolatedHA,
  title={Isolated Horizons and Black Hole Entropy in Loop Quantum Gravity},
  author={Jacobo D{\'i}az-Polo and Daniele Pranzetti},
  journal={Symmetry Integrability and Geometry-methods and Applications},
  year={2012},
  volume={8},
  pages={048}
}
We review the black hole entropy calculation in the framework of Loop Quantum Gravity based on the quasi-local definition of a black hole encoded in the isolated horizon formalism. We show, by means of the covariant phase space framework, the appearance in the conserved symplectic structure of a boundary term corresponding to a Chern{Simons theory on the horizon and present its quantization both in the U(1) gauge fixed version and in the fully SU(2) invariant one. We then describe the boundary… 

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