Agradecimientos:
We want to thank J. Baez, I. Garay, H. Sahlmann, and J. Salas for their comments. This work is supported by the Spanish MEC Grants No. FIS2005-05736-C03-02, No. FIS2005-05736-C03-03, No. ESP2005-07714-C03-01, and No. FIS2005-02761. I. A. and J. D.-P. acknowledge financial support provided by the Spanish Ministry of Science and Education under the FPU program.
Proyecto:
Gobierno de España. FIS2005-05736-C03-02 Gobierno de España. FIS2005-05736-C03-03 Gobierno de España. ESP2005-07714-C03-01 Gobierno de España. FIS2005-02761
We give an efficient method, combining number-theoretic and combinatorial ideas, to exactly compute black hole entropy in the framework of loop quantum gravity. Along the way we provide a complete characterization of the relevant sector of the spectrum of the We give an efficient method, combining number-theoretic and combinatorial ideas, to exactly compute black hole entropy in the framework of loop quantum gravity. Along the way we provide a complete characterization of the relevant sector of the spectrum of the area operator, including degeneracies, and explicitly determine the number of solutions to the projection constraint. We use a computer implementation of the proposed algorithm to confirm and extend previous results on the detailed structure of the black hole degeneracy spectrum.[+][-]
