Agradecimientos:
We want to thank Jesús Salas for many helpful discussions. The work has been supported by the Spanish MICINN research grants FIS2009-11893, FIS2008-06078-C03-02, FIS2008-01980, ESP2007-66542-C04-01, AYA 2009-14027-C05-01 and the Consolider-Ingenio 2010 Program CPAN (CSD2007-00042). IA acknowledges the support provided by a UWM-RGI grant. JDP is also supported by the PHY-0854743 NSF grant and Eberly research funds at Penn State University.
Proyecto:
Gobierno de España. FIS2009-11893 Gobierno de España. FIS2008-06078-C03-02 Gobierno de España. FIS2008-01980 Gobierno de España. ESP2007-66542-C04-01 Gobierno de España. AYA 2009-14027-C05-01 Gobierno de España. CSD2007-00042
We give a complete and detailed description of the computation of black hole entropy in loop quantum gravity by employing the most recently introduced number-theoretic and combinatorial methods. The use of these techniques allows us to perform a detailed anaWe give a complete and detailed description of the computation of black hole entropy in loop quantum gravity by employing the most recently introduced number-theoretic and combinatorial methods. The use of these techniques allows us to perform a detailed analysis of the precise structure of the entropy spectrum for small black holes, showing some relevant features that were not discernible in previous computations. The ability to manipulate and understand the spectrum up to the level of detail that we describe in the paper is a crucial step toward obtaining the behavior of entropy in the asymptotic (large horizon area) regime.[+][-]
