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

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

Author(s): Agulló, Iván; Barbero G., J. Fernando; Fernández Borja, Enrique; Díaz-Polo, Jacobo; Sánchez Villaseñor, Eduardo Jesús
Publisher: American Physical Society
Issued date: 2009-10-07
Citation: Physical Review D, 2009, 80 (8), 084006.
ISSN: 1550-7998
DOI: https://dx.doi.org/10.1103/PhysRevD.80.084006
Sponsor: The authors want to thank Alejandro Pérez for interesting discussions on this subject. The work was partially supported by the Spanish MICINN research grants FIS2008-01980, FIS2008-03221, FIS2008-06078-C03-02 and ESP2007-66542-C04-01, and the Consolider-Ingenio 2010 Program CPAN (CSD2007-00042). I.A. has been partially supported by RGI founds of the Center of Gravitation and Cosmology at the University of Wisconsin-Milwaukee.
Project: Gobierno de España. FIS2008-01980
Gobierno de España. FIS2008-03221
Gobierno de España. FIS2008-06078-C03-02
Gobierno de España. ESP2007-66542-C04-01
Gobierno de España. CSD2007-00042
URI: http://hdl.handle.net/10016/24575
Rights: © 2009 American Physical Society

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 [+]

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