Quantum Black Hole Entropy

Details Quantum Black Hole Entropy Quantum Black Hole Entropy

1998-01-23

arxiv.org/abs/gr-qc/9801080v2

Phys.Lett. B439 (1998) 267-270

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

7 pages, Revtex, some new references added

Scientific paper

10.1016/S0370-2693(98)01030-2

We derive an exact formula for the dimensionality of the Hilbert space of the boundary states of SU(2) Chern-Simons theory, which, according to the recent work of Ashtekar et al, leads to the Bekenstein-Hawking entropy of a four dimensional Schwarzschild black hole. Our result stems from the relation between the (boundary) Hilbert space of the Chern-Simons theory with the space of conformal blocks of the Wess-Zumino model on the boundary 2-sphere.

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