Towards non-AdS holography in 3-dimensional higher spin gravity

Journal of High Energy Physics

Volumn 2012, Issue 3, 2012, Pages

  Gary, Michael ^a   Grumiller, Daniel ^a   Rashkov, Radoslav ^a  

^a VIENNA UNIVERSITY OF TECHNOLOGY   (Austria)

Author keywords

AdS CFT Correspondence; Chern Simons Theories; Conformal and W Symmetry; Gauge gravity correspondence

Indexed keywords

EID: 84859547762     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1007/JHEP03(2012)022     Document Type: Article

References (75)

1. J.M. Maldacena, The large-N limit of superconformal field theories and supergravity, Adv. Theor. Math. Phys. 2 (1998) 231
2. [Int. J. Theor. Phys. 38 (1999) 1133] [hep-th/9711200] [INSPIRE].
3. N. Beisert et al., Review of AdS/CFT integrability: an overview, Lett. Math. Phys. 99 (2012) 3 [arXiv:1012.3982] [INSPIRE].
4. V. Pestun, Localization of gauge theory on a four-sphere and supersymmetric Wilson loops, arXiv:0712.2824 [INSPIRE].
5. E. Fradkin and M.A. Vasiliev, Cubic interaction in extended theories of massless higher spin fields, Nucl. Phys. B 291 (1987) 141 [INSPIRE].
6. E. Fradkin and M.A. Vasiliev, On the gravitational interaction of massless higher spin fields, Phys. Lett. B 189 (1987) 89 [INSPIRE].
7. M.A. Vasiliev, Consistent equation for interacting gauge fields of all spins in (3+1)-dimensions, Phys. Lett. B 243 (1990) 378 [INSPIRE].
8. M. Vasiliev, Nonlinear equations for symmetric massless higher spin fields in (A)dS(d), Phys. Lett. B 567 (2003) 139 [hep-th/0304049] [INSPIRE].
9. A. Mikhailov, Notes on higher spin symmetries, hep-th/0201019 [INSPIRE].
10. E. Sezgin and P. Sundell, Massless higher spins and holography, Nucl. Phys. B 644 (2002) 303 [Erratum ibid. B 660 (2003) 403] [hep-th/0205131] [INSPIRE].
11. I. Klebanov and A. Polyakov, AdS dual of the critical O(N) vector model, Phys. Lett. B 550 (2002) 213 [hep-th/0210114] [INSPIRE].
12. S. Giombi and X. Yin, Higher spin gauge theory and holography: the three-point functions, JHEP 09 (2010) 115 [arXiv:0912.3462] [INSPIRE].
13. S. Giombi and X. Yin, Higher spins in AdS and twistorial holography, JHEP 04 (2011) 086 [arXiv:1004.3736] [INSPIRE].
14. R. de Mello Koch, A. Jevicki, K. Jin and J.P. Rodrigues, AdS4/CFT3 construction from collective fields, Phys. Rev. D 83 (2011) 025006 [arXiv:1008.0633] [INSPIRE].
15. S. Giombi and X. Yin, On higher spin gauge theory and the critical O(N) model, arXiv:1105.4011 [INSPIRE].
16. M.R. Douglas, L. Mazzucato and S.S. Razamat, Holographic dual of free field theory, Phys. Rev. D 83 (2011) 071701 [arXiv:1011.4926] [INSPIRE].
17. M.R. Gaberdiel and R. Gopakumar, An AdS3 dual for minimal model CFTs, Phys. Rev. D 83 (2011) 066007 [arXiv:1011.2986] [INSPIRE].
18. M.R. Gaberdiel, R. Gopakumar, T. Hartman and S. Raju, Partition functions of holographic minimal models, JHEP 08 (2011) 077 [arXiv:1106.1897] [INSPIRE].
19. C. Aragone and S. Deser, Hypersymmetry in D = 3 of coupled gravity massless spin 5/2 system, Class. Quant. Grav. 1 (1984) L9 [INSPIRE].
20. M. Blencowe, A consistent interacting massless higher spin field theory in D = (2 + 1), Class. Quant. Grav. 6 (1989) 443 [INSPIRE].
21. E. Bergshoeff, M. Blencowe and K. Stelle, Area preserving diffeomorphisms and higher spin algebra, Commun. Math. Phys. 128 (1990) 213 [INSPIRE].
22. A. Achucarro and P. Townsend, A Chern-Simons action for three-dimensional anti-de Sitter supergravity theories, Phys. Lett. B 180 (1986) 89 [INSPIRE].
23. E. Witten, (2 + 1)-dimensional gravity as an exactly soluble system, Nucl. Phys. B 311 (1988) 46 [INSPIRE].
24. S. Carlip, Lectures on (2 + 1) dimensional gravity, J. Korean Phys. Soc. 28 (1995) S447 [gr-qc/9503024] [INSPIRE].
25. F. Bais, T. Tjin and P. van Driel, Covariantly coupled chiral algebras, Nucl. Phys. B 357 (1991) 632 [INSPIRE].
26. 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] [INSPIRE].
27. J. 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 [INSPIRE].
28. M. Henneaux and S.-J. Rey, Nonlinear Winfinity as asymptotic symmetry of three-dimensional higher spin Anti-de Sitter gravity, JHEP 12 (2010) 007 [arXiv:1008.4579] [INSPIRE].
29. D. Son, Toward an AdS/cold atoms correspondence: a geometric realization of the Schrödinger symmetry, Phys. Rev. D 78 (2008) 046003 [arXiv:0804.3972] [INSPIRE].
30. K. Balasubramanian and J. McGreevy, Gravity duals for non-relativistic CFTs, Phys. Rev. Lett. 101 (2008) 061601 [arXiv:0804.4053] [INSPIRE].
31. A. Adams, K. Balasubramanian and J. McGreevy, Hot spacetimes for cold atoms, JHEP 11 (2008) 059 [arXiv:0807.1111] [INSPIRE].
32. S. Kachru, X. Liu and M. Mulligan, Gravity duals of Lifshitz-like fixed points, Phys. Rev. D 78 (2008) 106005 [arXiv:0808.1725] [INSPIRE].
33. D. Grumiller and N. Johansson, Instability in cosmological topologically massive gravity at the chiral point, JHEP 07 (2008) 134 [arXiv:0805.2610] [INSPIRE].
34. S. Ertl, D. Grumiller and N. Johansson, Erratum to "Instability in cosmological topologically massive gravity at the chiral point" arXiv:0805.2610, arXiv:0910.1706.
35. D. Grumiller and N. Johansson, Consistent boundary conditions for cosmological topologically massive gravity at the chiral point, Int. J. Mod. Phys. D 17 (2009) 2367 [arXiv:0808.2575] [INSPIRE].
36. M. Henneaux, C. Martinez and R. Troncoso, Asymptotically anti-de Sitter spacetimes in topologically massive gravity, Phys. Rev. D 79 (2009) 081502 [arXiv:0901.2874] [INSPIRE].
37. A. Maloney, W. Song and A. Strominger, Chiral gravity, log gravity and extremal CFT, Phys. Rev. D 81 (2010) 064007 [arXiv:0903.4573] [INSPIRE].
38. S. Deser, R. Jackiw and S. Templeton, Three-dimensional massive gauge theories, Phys. Rev. Lett. 48 (1982) 975 [INSPIRE].
39. S. Deser, R. Jackiw and S. Templeton, Topologically massive gauge theories, Annals Phys. 140 (1982) 372 [Erratum ibid. 185 (1988) 406] [INSPIRE].
40. J.H. Horne and E. Witten, Conformal gravity in three-dimensions as a gauge theory, Phys. Rev. Lett. 62 (1989) 501 [INSPIRE].
41. H. Afshar, B. Cvetkovic, S. Ertl, D. Grumiller and N. Johansson, Holograms of conformal Chern-Simons gravity, Phys. Rev. D 84 (2011) 041502 [arXiv:1106.6299] [INSPIRE].
42. H. Afshar, B. Cvetkovic, S. Ertl, D. Grumiller and N. Johansson, Conformal Chern-Simons holography - lock, stock and barrel, arXiv:1110.5644 [INSPIRE].
43. M. Bañados, Global charges in Chern-Simons field theory and the (2 + 1) black hole, Phys. Rev. D 52 (1996) 5816 [hep-th/9405171] [INSPIRE].
44. M. Bañados, T. Brotz and M.E. Ortiz, Boundary dynamics and the statistical mechanics of the (2 + 1)-dimensional black hole, Nucl. Phys. B 545 (1999) 340 [hep-th/9802076] [INSPIRE].
45. M. Bañados, Three-dimensional quantum geometry and black holes, [INSPIRE].
46. S. Carlip, Conformal field theory, (2 + 1)-dimensional gravity and the BTZ black hole, Class. Quant. Grav. 22 (2005) R85 [gr-qc/0503022] [INSPIRE].
47. P. Kraus, Lectures on black holes and the AdS3/CFT2 correspondence, Lect. Notes Phys. 755 (2008) 193 [hep-th/0609074] [INSPIRE].
48. A. Campoleoni, S. Fredenhagen and S. Pfenninger, Asymptotic W-symmetries in three-dimensional higher-spin gauge theories, JHEP 09 (2011) 113 [arXiv:1107.0290] [INSPIRE].
49. A. Castro, E. Hijano, A. Lepage-Jutier and A. Maloney, Black holes and singularity resolution in higher spin gravity, JHEP 01 (2012) 031 [arXiv:1110.4117] [INSPIRE].
50. O. Coussaert, M. Henneaux and P. van Driel, The Asymptotic dynamics of three-dimensional Einstein gravity with a negative cosmological constant, Class. Quant. Grav. 12 (1995) 2961 [gr-qc/9506019] [INSPIRE].
51. Y. Nutku, Exact solutions of topologically massive gravity with a cosmological constant, Class. Quant. Grav. 10 (1993) 2657 [INSPIRE].
52. I. Bengtsson and P. Sandin, Anti de Sitter space, squashed and stretched, Class. Quant. Grav. 23 (2006) 971 [gr-qc/0509076] [INSPIRE].
53. D. Anninos, W. Li, M. Padi, W. Song and A. Strominger, Warped AdS3 black holes, JHEP 03 (2009) 130 [arXiv:0807.3040] [INSPIRE].
54. D. Anninos, G. Compere, S. de Buyl, S. Detournay and M. Guica, The curious case of null warped space, JHEP 11 (2010) 119 [arXiv:1005.4072] [INSPIRE].
55. M. Guica, A Fefferman-Graham-like expansion for null warped AdS3, arXiv:1111.6978 [INSPIRE].
56. G. Compere and S. Detournay, Boundary conditions for spacelike and timelike warped AdS3 spaces in topologically massive gravity, JHEP 08 (2009) 092 [arXiv:0906.1243] [INSPIRE].
57. M. Ammon, M. Gutperle, P. Kraus and E. Perlmutter, Spacetime geometry in higher spin gravity, JHEP 10 (2011) 053 [arXiv:1106.4788] [INSPIRE].
58. M. Bañados, C. Teitelboim and J. Zanelli, The black hole in three-dimensional space-time, Phys. Rev. Lett. 69 (1992) 1849 [hep-th/9204099] [INSPIRE].
59. 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] [INSPIRE].
60. E.A. Bergshoeff, O. Hohm and P.K. Townsend, Massive gravity in three dimensions, Phys. Rev. Lett. 102 (2009) 201301 [arXiv:0901.1766] [INSPIRE].
61. E.A. Bergshoeff, O. Hohm and P.K. Townsend, More on massive 3D gravity, Phys. Rev. D 79 (2009) 124042 [arXiv:0905.1259] [INSPIRE].
62. E. Ayon-Beato, A. Garbarz, G. Giribet and M. Hassaine, Lifshitz black hole in three dimensions, Phys. Rev. D 80 (2009) 104029 [arXiv:0909.1347] [INSPIRE].
63. A. Strominger, Black hole entropy from near horizon microstates, JHEP 02 (1998) 009 [hep-th/9712251] [INSPIRE].
64. D. Birmingham, I. Sachs and S. Sen, Entropy of three-dimensional black holes in string theory, Phys. Lett. B 424 (1998) 275 [hep-th/9801019] [INSPIRE].
65. G. Clement, Particle-like solutions to topologically massive gravity, Class. Quant. Grav. 11 (1994) L115 [gr-qc/9404004] [INSPIRE]. (Pubitemid 24817628)
66. S. Ertl, D. Grumiller and N. Johansson, All stationary axi-symmetric local solutions of topologically massive gravity, Class. Quant. Grav. 27 (2010) 225021 [arXiv:1006.3309] [INSPIRE].
67. G. Guralnik, A. Iorio, R. Jackiw and S. Pi, Dimensionally reduced gravitational Chern-Simons term and its kink, Annals Phys. 308 (2003) 222 [hep-th/0305117] [INSPIRE].
68. D. Grumiller and W. Kummer, The classical solutions of the dimensionally reduced gravitational Chern-Simons theory, Annals Phys. 308 (2003) 211 [hep-th/0306036] [INSPIRE].
69. S.A. Hartnoll, Lectures on holographic methods for condensed matter physics, Class. Quant. Grav. 26 (2009) 224002 [arXiv:0903.3246] [INSPIRE].
70. K. Copsey and R. Mann, Pathologies in asymptotically Lifshitz spacetimes, JHEP 03 (2011) 039 [arXiv:1011.3502] [INSPIRE].
71. G.T. Horowitz and B. Way, Lifshitz singularities, Phys. Rev. D 85 (2012) 046008 [arXiv:1111.1243] [INSPIRE].
72. B. Chen, J. Long and J.-B. Wu, Spin-3 topological massive gravity, Phys. Lett. B 705 (2011) 513 [arXiv:1106.5141] [INSPIRE].
73. A. Bagchi, S. Lal, A. Saha and B. Sahoo, Topologically massive higher spin gravity, JHEP 10 (2011) 150 [arXiv:1107.0915] [INSPIRE].
74. B. Chen and J. Long, High spin topologically massive gravity, JHEP 12 (2011) 114 [arXiv:1110.5113] [INSPIRE].
75. H. Tan, Aspects of three-dimensional spin-4 gravity, JHEP 02 (2012) 035 [arXiv:1111.2834] [INSPIRE].