The SU(2) Black Hole entropy revisited

Jonathan Engle (1) , Karim Noui (2) , Alejandro Perez (3, 4, 5) , Daniele Pranzetti (4, 5, 3)

1 Department of Physics
2 LMPT - Laboratoire de Mathématiques et Physique Théorique
3 CPT - E4 Gravité quantique
4 CPT - Centre de Physique Théorique - UMR 6207
5 CPT - Centre de Physique Théorique - UMR 7332

We study the state-counting problem that arises in the SU(2) black hole entropy calculation in loop quantum gravity. More precisely, we compute the leading term and the logarithmic correction of both the spherically symmetric and the distorted SU(2) black holes. Contrary to what has been done in previous works, we have to take into account "quantum corrections" in our framework in the sense that the level k of the Chern-Simons theory which describes the black hole is finite and not sent to infinity. Therefore, the new results presented here allow for the computation of the entropy in models where the quantum group corrections are important.

Mots clés: Black Holes; Quantum Groups; Models of Quantum Gravity; Chern-Simons Theories

Domaines: Relativité Générale et Cosmologie Quantique [gr-qc]; Physique des Hautes Energies - Théorie [hep-th]

Jonathan Engle, Karim Noui, Alejandro Perez, Daniele Pranzetti. The SU(2) Black Hole entropy revisited. Journal of High Energy Physics, 2011, 2011 (5), pp.16. ⟨10.1007/JHEP05(2011)016⟩. ⟨hal-00967361⟩