One-loop partition functions of 3D gravity

Journal of High Energy Physics

Volumn 2008, Issue 8, 2008, Pages

  Giombi, Simone ^a   Maloney, Alexander ^b   Yin, Xi ^a  

^a HARVARD UNIVERSITY   (United States)

^b MCGILL UNIVERSITY   (Canada)

Author keywords

AdS CFT correspondence; Black holes; Models of quantum gravity

Indexed keywords

EID: 54749126199     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2008/08/007     Document Type: Article

References (20)

1. E. Witten, Three-dimensional gravity revisited [0706.3359]
2. A. Maloney and E. Witten, Quantum gravity partition functions in three dimensions [0712.0155]
3. X. Yin, Partition functions of three-dimensional pure gravity [0710.2129]
4. X. Yin, On non-handlebody instantons in 3D gravity [0711.2803]
5. J.D. Brown and M. Henneaux, Central charges in the canonical realization of asymptotic symmetries: an example from three-dimensional gravity 1986 Comm. Math. Phys. 104 207
6. d+1, 1999 Nucl. Phys. B 562 330 [hep-th/9902042]
7. A.A. Bytsenko, L. Vanzo and S. Zerbini, Quantum correction to the entropy of the (2+1)-dimensional black hole 1998 Phys. Rev. D 57 4917 [gr-qc/9710106]
8. A.A. Bytsenko, L. Vanzo and S. Zerbini, Ray-Singer torsion for a hyperbolic 3-manifold and asymptotics of Chern-Simons-Witten invariant 1997 Nucl. Phys. B 505 641 [hep-th/9704035]
9. R. Camporesi, Harmonic analysis and propagators on homogeneous spaces 1990 Phys. Rep. 196 1
10. R.B. Mann and S.N. Solodukhin, Quantum scalar field on three-dimensional (BTZ) black hole instanton: heat kernel, effective action and thermodynamics 1997 Phys. Rev. D 55 3622 [hep-th/9609085]
11. R. Camporesi and A. Higuchi, Spectral functions and zeta functions in hyperbolic spaces 1994 J. Math. Phys. 35 4217
12. S.M. Christensen and M.J. Duff, Quantizing gravity with a cosmological constant 1980 Nucl. Phys. B 170 480
13. G.W. Gibbons, S.W. Hawking and M.J. Perry, Path integrals and the indefiniteness of the gravitational action 1978 Nucl. Phys. B 138 141
14. 3 black holes and a stringy exclusion principle 1998 J. High Energy Phys. JHEP12(1998)005 [hep-th/9804085]
15. B. Maskit, Kleinian groups (Springer-Verlag, Berlin) Heidelberg Germany and New York U.S.A. (1988)
16. S. Aminneborg, I. Bengtsson, D. Brill, S. Holst and P. Peldan, Black holes and wormholes in 2+1 dimensions 1998 Class. Quantum Grav. 15 627 [gr-qc/9707036]
17. E. Bogomolny, Quantum and arithmetical chaos [nlin/0312061]
18. K. Krasnov, Holography and Riemann surfaces 2000 Adv. Theor. Math. Phys. 4 929 [hep-th/0005106]
19. G.T. Horowitz and D. Marolf, A new approach to string cosmology 1998 J. High Energy Phys. JHEP07(1998)014 [hep-th/9805207]
20. J.M. Maldacena and L. Maoz, Wormholes in AdS 2004 J. High Energy Phys. JHEP02(2004)053 [hep-th/0401024]