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APS » Journals » Phys. Rev. D » Volume 80 » Issue 8
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Phys. Rev. D 80, 084006 (2009) [3 pages]

Combinatorics of the SU(2) black hole entropy in loop quantum gravity

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Iván Agulló1,2,*, J. Fernando Barbero G.3,†, Enrique F. Borja2,‡, Jacobo Díaz-Polo4,§, and Eduardo J. S. Villaseñor5,3,**
1Physics Department, University of Wisconsin-Milwaukee, P.O. Box 413, Milwaukee, Wisconsin 53201 USA
2Departamento de Física Teórica and Instituto de Física Corpuscular (IFIC), Centro Mixto Universidad de Valencia–Consejo Superior de Investigaciones Científicas (CSIC), Facultad de Física, Universidad de Valencia, Burjassot-46100, Valencia, Spain
3Instituto de Estructura de la Materia, Consejo Superior de Investigaciones Científicas (CSIC), Serrano 123, 28006 Madrid, Spain
4Departamento de Astronomía y Astrofísica, Universidad de Valencia, Burjassot-46100, Valencia, Spain
5Instituto Gregorio Millán, Grupo de Modelización y Simulación Numérica, Universidad Carlos III de Madrid, Avda. de la Universidad 30, 28911 Leganés, Spain

Received 27 July 2009; published 7 October 2009

We use the combinatorial and number-theoretical methods developed in previous works by the authors to study black hole entropy in the new proposal put forth by Engle, Noui, and Pérez. Specifically, we give the generating functions relevant for the computation of the entropy and use them to derive its asymptotic behavior, including the value of the Immirzi parameter and the coefficient of the logarithmic correction.

© 2009 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.80.084006
DOI:
10.1103/PhysRevD.80.084006
PACS:
04.70.Dy, 02.10.De, 02.10.Ox, 04.60.Pp

*Ivan.Agullo@uv.es

†fbarbero@iem.cfmac.csic.es

‡Enrique.Fernandez@uv.es

§Jacobo.Diaz@uv.es

**ejsanche@math.uc3m.es

 
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