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

publication date

  • October 2009

start page

  • 084006

issue

  • 8

volume

  • 80

International Standard Serial Number (ISSN)

  • 1550-7998

Electronic International Standard Serial Number (EISSN)

  • 1550-2368

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.