6533b86efe1ef96bd12cc535

RESEARCH PRODUCT

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

Iván AgullóJ. Fernando Barbero G.Enrique Fernández BorjaJacobo Díaz-poloEduardo Jesús Sánchez Villaseñor

subject

General Relativity and Quantum CosmologyMatemáticasTheoryofComputation_GENERALFísica

description

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 Perez. 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.

10.1103/physrevd.80.084006https://dx.doi.org/10.1103/PhysRevD.80.084006