Higher spin theories in AdS3 and a gravitational exclusion principle

Journal of High Energy Physics

Volumn 2011, Issue 1, 2011, Pages

  Castro, Alejandra ^a   Lepage Jutier, Arnaud ^a   Maloney, Alexander ^a  

^a MCGILL UNIVERSITY   (Canada)

Author keywords

AdS CFT correspondence; Chern Simons theories

Indexed keywords

EID: 80053109663     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1007/JHEP01(2011)142     Document Type: Article

References (43)

1. J. D. Bekenstein, Entropy bounds and black hole remnants, Phys. Rev. D 49 (1994) 1912 [gr-qc/9307035].
2. G. 't Hooft, Dimensional reduction in quantum gravity, gr-qc/9310026.
3. L. Susskind, Trouble for remnants, hep-th/9501106.
4. R. Bousso, The holographic principle, Rev. Mod. Phys. 74 (2002) 825 [hep-th/0203101].
5. N. Arkani-Hamed, L. Motl, A. Nicolis and C. Vafa, The string landscape, black holes and gravity as the weakest force, JHEP 06 (2007) 060 [hep-th/0601001].
6. P. Haggi-Mani and B. Sundborg, Free large-N supersymmetric Yang-Mills theory as a string theory, JHEP 04 (2000) 031 [hep-th/0002189].
7. B. Sundborg, Stringy gravity, interacting tensionless strings and massless higher spins, Nucl. Phys. Proc. Suppl. 102 (2001) 113 [hep-th/0103247].
8. S. E. Konstein, M. A. Vasiliev and V. N. Zaikin, Conformal higher spin currents in any dimension and AdS/CFT correspondence, JHEP 12 (2000) 018 [hep-th/0010239].
9. A. M. Polyakov, Gauge fields and space-time, Int. J. Mod. Phys. A 17 S 1 (2002) 119 [hep-th/0110196].
10. A. Mikhailov, Notes on higher spin symmetries, hep-th/0201019.
11. A. Y. Segal, Conformal higher spin theory, Nucl. Phys. B 664 (2003) 59 [hep-th/0207212].
12. E. S. Fradkin and M. A. Vasiliev, Cubic interaction in extended theories of massless higher spin fields, Nucl. Phys. B 291 (1987) 141.
13. E. S. Fradkin and M. A. Vasiliev, On the gravitational interaction of massless higher spin fields, Phys. Lett. B 189 (1987) 89.
14. M. A. Vasiliev, Equations of motion for interacting massless fields of all spins in (3 + 1)-dimensions, in Symmetries and algebraic structures in physics, V. V. Dodonov and V. I. Manko eds., Nova Science, U. S. A. (1991).
15. M. A. Vasiliev, More on equations of motion for interacting massless fields of all spins in (3 + 1)-dimensions, Phys. Lett. B 285 (1992) 225.
16. E. Sezgin and P. Sundell, Massless higher spins and holography, Nucl. Phys. B 644 (2002) 303 [hep-th/0205131].
17. I. R. Klebanov and A. M. Polyakov, AdS dual of the critical O (N) vector model, Phys. Lett. B 550 (2002) 213 [hep-th/0210114].
18. S. Giombi and X. Yin, Higher spin gauge theory and holography: the three-point functions, JHEP 09 (2010) 115 [arXiv:0912.3462].
19. S. Giombi and X. Yin, Higher spins in AdS and twistorial holography, arXiv:1004.3736.
20. M. P. Blencowe, A consistent interacting massless higher spin field theory in D = (2 + 1), Class. Quant. Grav. 6 (1989) 443.
21. E. Bergshoeff, M. P. Blencowe and K. S. Stelle, Area preserving diffeomorphisms and higher spin algebra, Commun. Math. Phys. 128 (1990) 213.
22. C. Aragone and S. Deser, Hypersymmetry in D = 3 of coupled gravity massless spin 5/2 system, Class. Quant. Grav. 1 (1984) L9.
23. A. Campoleoni, S. Fredenhagen, S. Pfenninger and S. Theisen, Asymptotic symmetries of three-dimensional gravity coupled to higher-spin fields, JHEP 11 (2010) 007 [arXiv:1008.4744].
24. J. D. Brown and M. Henneaux, Central charges in the canonical realization of asymptotic symmetries: an example from three-dimensional gravity, Commun. Math. Phys. 104 (1986) 207.
25. M. Henneaux and S.-J. Rey, Nonlinear W (∞) algebra as asymptotic symmetry of three-dimensional higher spin Anti-de Sitter gravity, JHEP 12 (2010) 007 [arXiv:1008.4579].
26. 3, arXiv:1009.6087.
27. 3 dual for minimal model CFTs, arXiv:1011.2986.
28. A. Achucarro and P. K. Townsend, A Chern-Simons action for three-dimensional Anti-de Sitter supergravity theories, Phys. Lett. B 180 (1986) 89.
29. E. Witten, (2 + 1)-dimensional gravity as an exactly soluble system, Nucl. Phys. B 311 (1988) 46.
30. A. Achucarro and P. K. Townsend, Extended supergravities in d = (2 + 1) as Chern-Simons theories, Phys. Lett. B 229 (1989) 383.
31. C. Fronsdal, Massless fields with integer spin, Phys. Rev. D 18 (1978) 3624.
32. A. Maloney and E. Witten, Quantum gravity partition functions in three dimensions, JHEP 02 (2010) 029 [arXiv:0712.0155].
33. 3 black holes and a stringy exclusion principle, JHEP 12 (1998) 005 [hep-th/9804085].
34. E. Witten, Three-dimensional gravity revisited, arXiv:0706.3359.
35. R. Dijkgraaf, J. M. Maldacena, G. W. Moore and E. P. Verlinde, A black hole Farey tail, hep-th/0005003.
36. P. Kraus and F. Larsen, Partition functions and elliptic genera from supergravity, JHEP 01 (2007) 002 [hep-th/0607138].
37. J. L. Cardy, Operator content of two-dimensional conformally invariant theories, Nucl. Phys. B 270 (1986) 186.
38. M. Bañados, C. Teitelboim and J. Zanelli, The black hole in three-dimensional space-time, Phys. Rev. Lett. 69 (1992) 1849 [hep-th/9204099].
39. M. Bañados, M. Henneaux, C. Teitelboim and J. Zanelli, Geometry of the (2 + 1) black hole, Phys. Rev. D 48 (1993) 1506 [gr-qc/9302012].
40. A. Strominger, Black hole entropy from near-horizon microstates, JHEP 02 (1998) 009 [hep-th/9712251].
41. T.. Apostol, Modular functions and Dirichlet series in number theory, Graduate Texts in Mathematics, Springer, U. S. A. (1990).
42. 3 duals, arXiv:1011.5900.
43. E. M. Wright, Asymptotic partition formulae. I: plane partitions, Quart. J. Math. 2 (1931) 177.