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We compute the statistical entropy of a BTZ black hole in the context of three-dimensional Euclidean loop quantum gravity with a cosmological constant $\Lambda$.
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E. Livine, L. Freidel and C. Rovelli, Spectra of length and area in 2+1 lorentzian loop quantum gravity, Class. Quant. Grav. 20
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S. Carlip, Conformal field theory, (2+1)-dimensional gravity, and the BTZ black hole, arXiv:gr-qc/0503022
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E. J. Martinec, Conformal field theory, geometry, and entropy, arXiv:hep-th/9809021
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