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

Iván Agulló, J. Fernando Barbero G., Enrique F. Borja, Jacobo Díaz-Polo, and Eduardo J. S. Villaseñor
Phys. Rev. D 80, 084006 – Published 7 October 2009

Abstract

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.

  • Received 27 July 2009

DOI:https://doi.org/10.1103/PhysRevD.80.084006

©2009 American Physical Society

Authors & Affiliations

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

  • *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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Issue

Vol. 80, Iss. 8 — 15 October 2009

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