Black holes in three dimensional higher spin gravity: A review

Journal of Physics A: Mathematical and Theoretical

Volumn 46, Issue 21, 2013, Pages

  Ammon, Martin ^a   Gutperle, Michael ^a   Kraus, Per ^a   Perlmutter, Eric ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84878159671     PISSN: 17518113     EISSN: 17518121     Source Type: Journal    
DOI: 10.1088/1751-8113/46/21/214001     Document Type: Review

References (107)

1. Hawking S W 1975 Particle creation by black holes Commun. Math. Phys. 43 199
2. Hawking S W 1976 Commun. Math. Phys. 46 206 (erratum)
3. Strominger A and Vafa C 1996 Microscopic origin of the Bekenstein-Hawking entropy Phys. Lett. B 379 99 (arXiv:hep-th/9601029)
4. Maldacena J M 1998 The large N limit of superconformal field theories and supergravity Adv. Theor. Math. Phys. 2 231 (arXiv:hep-th/9711200)
5. Gubser S S, Klebanov I R and Polyakov A M 1998 Gauge theory correlators from noncritical string theory Phys. Lett. B 428 105 (arXiv:hep-th/9802109)
6. Witten E 1998 Anti-de Sitter space and holography Adv. Theor. Math. Phys. 2 253 (arXiv:hep-th/9802150)
7. Witten E 1988 (2+1)-dimensional gravity as an exactly soluble system Nucl. Phys. B 311 46
8. Achucarro A and Townsend P K 1986 A Chern-Simons action for three-dimensional anti-de Sitter supergravity theories Phys. Lett. B 180 89
9. Witten E 2007 Three-dimensional gravity revisited arXiv:0706.3359 [hep-th]
10. Brown J D and Henneaux M 1986 Central charges in the canonical realization of asymptotic symmetries: an example from three-dimensional gravity Commun. Math. Phys. 104 207
11. Banados M, Teitelboim C and Zanelli J 1992 The Black hole in three-dimensional Phys. Rev. Lett. 69 1849 (arXiv:hep-th/9204099)
12. Banados M, Henneaux M, Teitelboim C and Zanelli J 1993 Geometry of the (2+1) black hole Phys. Rev. D 48 1506 (arXiv:gr-qc/9302012)
13. Maldacena J M 2003 Eternal black holes in anti-de Sitter J. High Energy Phys. JHEP04(2003)021 (arXiv:hep-th/0106112)
14. Kraus P, Ooguri H and Shenker S 2003 Inside the horizon with AdS/CFT Phys. Rev. D 67 124022 (arXiv:hep-th/0212277) (Pubitemid 44652498)
15. Fidkowski L, Hubeny V, Kleban M and Shenker S 2004 The black hole singularity in AdS/CFT J. High Energy Phys. JHEP02(2004)014 (arXiv:hep-th/ 0306170)
16. Bekaert X, Boulanger N and Sundell P 2010 How higher-spin gravity surpasses the spin two barrier: no-go theorems versus yes-go examples arXiv:1007.0435 [hep-th]
17. Fronsdal C 1978 Massless fields with integer spin Phys. Rev. D 18 3624
18. Fradkin E S and Vasiliev M A 1987 On the gravitational interaction of massless higher spin fields Phys. Lett. B 189 89
19. Fradkin E S and Vasiliev M A 1987 Cubic interaction in extended theories of massless higher spin fields Nucl. Phys. B 291 141
20. Vasiliev M A 1990 Consistent equation for interacting gauge fields of all spins in (3+1)-dimensions Phys. Lett. B 243 378
21. Vasiliev M A 1992 More on equations of motion for interacting massless fields of all spins in (3+1)-dimensions Phys. Lett. B 285 225
22. Vasiliev M A 2000 Higher spin symmetries, star product and relativistic equations in AdS space arXiv:hep-th/0002183
23. Vasiliev M A 1999 Higher spin gauge theories: star product and AdS space The Many Faces of the Superworld ed M A Shifman (Hackensack, NJ: World Scientific Co.) pp 533-610 arXiv:hep-th/9910096
24. Sundborg B 2001 Stringy gravity, interacting tensionless strings and massless higher spins Nucl. Phys. Proc. Suppl. 102 113 (arXiv:hep-th/0103247)
25. Klebanov I R and Polyakov A M 2002 AdS dual of the critical O(N) vector model Phys. Lett. B 550 213 (arXiv:hep-th/0210114)
26. Mikhailov A 2002 Notes on higher spin symmetries arXiv:hep-th/0201019
27. Petkou A C 2003 Evaluating the AdS dual of the critical O(N) vector model J. High Energy Phys. JHEP03(2003)049 (arXiv:hep-th/0302063)
28. Leigh R G and Petkou A C 2003 Holography of the N=1 higher spin theory on AdS(4) J. High Energy Phys. JHEP06(2003)011 (arXiv:hep-th/0304217)
29. Sezgin E and Sundell P 2005 Holography in 4D (super) higher spin theories and a test via cubic scalar couplings J. High Energy Phys. JHEP07(2005)044 (arXiv:hep-th/0305040)
30. 3 Construction from collective fields Phys. Rev. D 83 025006 (arXiv:1008.0633 [hep-th])
31. Douglas M R, Mazzucato L and Razamat S S 2011 Holographic dual of free field theory Phys. Rev. D 83 071701 (arXiv:1011.4926 [hep-th])
32. Girardello L, Porrati M and Zaffaroni A 2003 3-D interacting CFTs and generalized Higgs phenomenon in higher spin theories on AdS Phys. Lett. B 561 289 (arXiv:hep-th/0212181)
33. Giombi S and Yin X 2010 Higher spin gauge theory and holography: the three-point functions J. High Energy Phys. JHEP09(2010)115 (arXiv:0912.3462 [hep-th])
34. Giombi S and Yin X 2011 Higher spins in AdS and twistorial holography J. High Energy Phys. JHEP04(2011)086 (arXiv:1004.3736 [hep-th])
35. Giombi S and Yin X 2011 On higher spin gauge theory and the critical O(N) model arXiv:1105.4011 [hep-th]
36. Maldacena J and Zhiboedov A 2012 Constraining conformal field theories with a slightly broken higher spin symmetry arXiv:1204.3882 [hep-th]
37. Maldacena J and Zhiboedov A 2013 Constraining conformal field theories with a higher spin symmetry J. Phys. A: Math. Theor. 46 214011 (arXiv:1112.1016 [hep-th])
38. Giombi S, Minwalla S, Prakash S, Trivedi S P, Wadia S R and Yin X 2011 Chern-Simons theory with vector fermion matter arXiv:1110.4386 [hep-th]
39. Aharony O, Gur-Ari G and Yacoby R 2012 d=3 bosonic vector models coupled to Chern-Simons gauge theories J. High Energy Phys. JHEP03(2012)037 (arXiv:1110.4382 [hep-th])
40. Bekaert X, Joung E and Mourad J 2012 Comments on higher-spin holography arXiv:1202.0543 [hep-th]
41. Blencowe M P 1989 A consistent interacting massless higher spin field theory in D = (2+1) Class. Quantum Grav. 6 443
42. Bergshoeff E, Blencowe M P and Stelle K S 1990 Area preserving diffeomorphisms and higher spin algebra Commun. Math. Phys. 128 213
43. Campoleoni A, Fredenhagen S, Pfenninger S and Theisen S 2010 Asymptotic symmetries of three-dimensional gravity coupled to higher-spin fields J. High Energy Phys. JHEP11(2010)007 (arXiv:1008.4744 [hep-th])
44. Campoleoni A, Fredenhagen S and Pfenninger S 2011 Asymptotic W-symmetries in three-dimensional higher-spin gauge theories J. High Energy Phys. JHEP09(2011)113 (arXiv:1107.0290 [hep-th])
45. Pope C N, Romans L J and Shen X 1990 W(infinity) and the Racah-Wigner algebra Nucl. Phys. B 339 191
46. Polyakov A M 1990 Gauge transformations and diffeomorphisms Int. J. Mod. Phys. A 5 833
47. Bershadsky M 1991 Conformal field theories via Hamiltonian reduction Commun. Math. Phys. 139 71
48. Bilal A 1991 W algebras from Chern-Simons theory Phys. Lett. B 267 487
49. Henneaux M and Rey S J 2010 Nonlinear W(infinity) algebra as asymptotic symmetry of three-dimensional higher spin anti-de Sitter gravity J. High Energy Phys. JHEP12(2010)007 (arXiv:1008.4579 [hep-th])
50. Gaberdiel M R and Hartman T 2011 Symmetries of holographic minimal models arXiv:1101.2910 [hep-th]
51. 3 dual for minimal model CFTs Phys. Rev. D 83 066007 (arXiv:1011.2986 [hep-th])
52. Gaberdiel M R and Gopakumar R 2012 Triality in minimal model holography arXiv:1205.2472 [hep-th]
53. Gaberdiel M R and Gopakumar R 2013 Minimal model holography J. Phys. A: Math. Theor. 46 214002 (arXiv:1207.6697 [hep-th])
54. 3 J. High Energy Phys. JHEP02(2011)004 (arXiv:1009.6087 [hep-th])
55. David J R, RGaberdiel M and Gopakumar R 2010 The heat kernel on AdS(3) and its applications J. High Energy Phys. JHEP04(2010)125 (arXiv:0911.5085 [hep-th])
56. Gaberdiel M R, Gopakumar R, Hartman T and Raju S 2011 Partition functions of holographic minimal models J. High Energy Phys. JHEP08(2011)077 (arXiv:1106.1897 [hep-th])
57. 3 and its CFT dual arXiv:1106.2580 [hep-th]
58. Papadodimas K and Raju S 2012 Correlation functions in holographic minimal models Nucl. Phys. B 856 607 (arXiv:1108.3077 [hep-th])
59. Ammon M, Kraus P and Perlmutter E 2011 Scalar fields and three-point functions in D=3 higher spin gravity arXiv:1111.3926 [hep-th]
60. Ahn C 2012 The coset spin-4 Casimir operator and its three-point functions with scalars J. High Energy Phys. JHEP02(2012)027 (arXiv:1111.0091 [hep-th])
61. Castro A, Gopakumar R, Gutperle M and Raeymaekers J 2012 Conical defects in higher spin theories J. High Energy Phys. JHEP02(2012)096 (arXiv:1111.3381 [hep-th])
62. RGaberdiel M and Vollenweider C 2011 Minimal model holography for SO(2N) J. High Energy Phys. JHEP08(2011)104 (arXiv:1106.2634 [hep-th])
63. Ahn C 2001 The large N 't Hooft limit of coset minimal models J. High Energy Phys. JHEP10(2001)125 (arXiv:1106.0351 [hep-th])
64. 3 arXiv:1203.1939 [hep-th]
65. Ahn C 2012 The large N 't Hooft limit of Kazama-Suzuki model arXiv:1206.0054 [hep-th]
66. 3 supergravity J. High Energy Phys. JHEP06(2012)037 (arXiv:1203.5152 [hep-th])
67. Hanaki K and Peng C 2012 Symmetries of holographic super-minimal models arXiv:1203.5768 [hep-th]
68. 3 supergravity and its dual CFT J. High Energy Phys. JHEP02(2012)109 (arXiv:1111.2139 [hep-th])
69. Candu C and Gaberdiel M R 2012 Duality in N=2 minimal model holography arXiv:1207.6646 [hep-th]
70. Tan H S 2012 Exploring three-dimensional higher-spin supergravity based on sl(N N - 1) Chern-Simons theories arXiv:1208.2277 [hep-th]
71. Datta S and David J R 2012 Supersymmetry of classical solutions in Chern-Simons higher spin supergravity arXiv:1208.3921 [hep-th]
72. Gutperle M and Kraus P 2011 Higher spin black holes J. High Energy Phys. JHEP05(2011)022 (arXiv:1103.4304 [hep-th])
73. Ammon M, Gutperle M, Kraus P and Perlmutter E 2011 Spacetime geometry in higher spin gravity J. High Energy Phys. JHEP10(2011)053 (arXiv:1106.4788 [hep-th])
74. Castro A, Hijano E, Lepage-Jutier A and Maloney A 2012 Black holes and singularity resolution in higher spin gravity J. High Energy Phys. JHEP01(2012)031 (arXiv:1110.4117 [hep-th])
75. Kraus P and Perlmutter E 2011 Partition functions of higher spin black holes and their CFT duals J. High Energy Phys. JHEP11(2011)061 (arXiv:1108.2567 [hep-th])
76. Banados M, Canto R and Theisen S 2012 The action for higher spin black holes in three dimensions arXiv:1204.5105 [hep-th]
77. Gaberdiel M R, Hartman T and Jin K 2012 Higher spin black holes from CFT J. High Energy Phys. JHEP04(2012)103 (arXiv:1203.0015 [hep-th])
78. Banados M 1999 Three-dimensional quantum geometry and black holes arXiv:hep-th/9901148
79. Kraus P 2008 Lectures on black holes and the AdS(3)/CFT(2) correspondence Lect. Notes Phys. 755 193 (arXiv:hep-th/0609074)
80. Fefferman C and Graham C R 1985 Conformal invariants Elie Cartan et les Mathématiques d'aujourd'hui (Paris: Astérisque) p 95
81. de Haro S, Solodukhin S N and Skenderis K 2001 Holographic reconstruction of spacetime and renormalization in the AdS/CFT correspondence Commun. Math. Phys. 217 595 (arXiv:hep-th/0002230)
82. Balasubramanian V and Kraus P 1999 A stress tensor for anti-de Sitter gravity Commun. Math. Phys. 208 413 (arXiv:hep-th/9902121)
83. Polchinski J 1998 String Theory vol 1 (Cambridge: Cambridge University Press)
84. Strominger A 1998 Black hole entropy from near-horizon microstates J. High Energy Phys. JHEP02(1998)009 (arXiv:hep-th/9712251)
85. Maldacena J M and Strominger A 1998 AdS(3) black holes and a stringy exclusion principle J. High Energy Phys. JHEP12(1998)005 (arXiv:hep-th/9804085)
86. Kraus P and Larsen F 2005 Microscopic black hole entropy in theories with higher derivatives J. High Energy Phys. JHEP09(2005)034 (arXiv:hep-th/0506176)
87. Kraus P and Larsen F 2007 Partition functions and elliptic genera from supergravity J. High Energy Phys. JHEP01(2007)002 (arXiv:hep-th/0607138)
88. 2 J. High Energy Phys. JHEP05(2012)071 (arXiv:1111.5054 [hep-th])
89. Perez A, Tempo D and Troncoso R 2012 Higher spin gravity in 3D: black holes, global charges and thermodynamics arXiv:1207.2844 [hep-th]
90. Campoleoni A, Fredenhagen S, Pfenninger S and Theisen S 2013 Towards metric-like higher-spin gauge theories in three dimensions J. Phys. A: Math. Theor. 46 214017 (arXiv:1208.1851 [hep-th])
91. Zamolodchikov A B 1985 Infinite additional symmetries in two-dimensional conformal quantum field theory Theor. Math. Phys. 65 1205
92. Zamolodchikov A B 1985 Teor. Mat. Fiz. 65 347
93. 3 higher spin gravity J. High Energy Phys. JHEP06(2012)001 (arXiv:1202.4467 [hep-th])
94. Wald R M 1993 Black hole entropy is the Noether charge Phys. Rev. D 48 3427 (arXiv:gr-qc/9307038)
95. Tan H-S 2012 Aspects of three-dimensional spin-4 gravity J. High Energy Phys. JHEP02(2012)035 (arXiv:1111.2834 [hep-th])
96. Gibbons G W and Hawking S W 1977 Action integrals and partition functions in quantum gravity Phys. Rev. D 15 2752
97. Prokushkin S F and Vasiliev M A 1999 Higher spin gauge interactions for massive matter fields in 3-d AdS space-time Nucl. Phys. B 545 385 (arXiv:hep-th/9806236)
98. Zhu Y 1996 Modular invariance of characters of vertex operator algebras J. Am. Math. Soc. 9 237
99. Kraus P and Perlmutter E 2013 in preparation
100. Sezgin E and Sundell P 2002 Analysis of higher spin field equations in four-dimensions J. High Energy Phys. JHEP07(2002)055 (arXiv:hep-th/0205132)
101. Sezgin E and Sundell P 2007 An exact solution of 4-d higher-spin gauge theory Nucl. Phys. B 762 1 (arXiv:hep-th/0508158) (Pubitemid 44890749)
102. Iazeolla C, Sezgin E and Sundell P 2008 Real forms of complex higher spin field equations and new exact solutions Nucl. Phys. B 791 231 (arXiv:0706.2983 [hep-th])
103. Iazeolla C and Sundell P 2013 Biaxially symmetric solutions to 4D higher-spin gravity J. Phys. A: Math. Theor. 46 214004 (arXiv:1208.4077 [hep-th])
104. Didenko V E, Matveev A S and Vasiliev M A 2008 Unfolded description of AdS(4) Kerr black hole Phys. Lett. B 665 284 (arXiv:0801.2213 [gr-qc])
105. Didenko V E and Vasiliev M A 2009 Static BPS black hole in 4d higher-spin gauge theory Phys. Lett. B 682 305 (arXiv:0906.3898 [hep-th])
106. Iazeolla C and Sundell P 2011 Families of exact solutions to Vasiliev's 4D equations with spherical, cylindrical and biaxial symmetry J. High Energy Phys. JHEP12(2011)084 (arXiv:1107.1217 [hep-th])
107. Shenker S H and Yin X 2011 Vector models in the singlet sector at finite temperature arXiv:1109.3519 [hep-th]