Black hole entropy and SU(2) Chern-Simons theory.

@article{Engle2010BlackHE,
  title={Black hole entropy and SU(2) Chern-Simons theory.},
  author={Jonathan Engle and Karim Noui and Alejandro Lima P{\'e}rez},
  journal={Physical review letters},
  year={2010},
  volume={105 3},
  pages={031302}
}
Black holes (BH's) in equilibrium can be defined locally in terms of the so-called isolated horizon boundary condition given on a null surface representing the event horizon. We show that this boundary condition can be treated in a manifestly SU(2) invariant manner. Upon quantization, state counting is expressed in terms of the dimension of Chern-Simons Hilbert spaces on a sphere with punctures. Remarkably, when considering an ensemble of fixed horizon area a(H), the counting can be mapped to… CONTINUE READING