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

Agulló, Iván; Barbero G., J. Fernando; Fernández Borja, Enrique; Díaz-Polo, Jacobo; Sánchez Villaseñor, Eduardo Jesús

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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

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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