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.
Publication Source (Journal or Book title)
Physical Review D - Particles, Fields, Gravitation and Cosmology
Agulló, I., Barbero G., J., Borja, E., Díaz-Polo, J., & Villaseñor, E. (2009). Combinatorics of the SU(2) black hole entropy in loop quantum gravity. Physical Review D - Particles, Fields, Gravitation and Cosmology, 80 (8) https://doi.org/10.1103/PhysRevD.80.084006