Black hole entropy and SU(2) Chern-Simons theory.
@article{Engle2010BlackHE, title={Black hole entropy and SU(2) Chern-Simons theory.}, author={J. Engle and K. Noui and A. 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
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Static Isolated Horizons: SU(2) Invariant Phase Space, Quantization, and Black Hole Entropy
- Physics, Computer Science
- Entropy
- 2011
- 46
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