Holographic studies of quasi-topological gravity

Journal of High Energy Physics

Volumn 2010, Issue 8, 2010, Pages

  Myers, Robert C ^a   Paulos, Miguel F ^b   Sinha, Aninda ^a  

^a PERIMETER INSTITUTE FOR THEORETICAL PHYSICS   (Canada)

^b UNIVERSITY OF CAMBRIDGE   (United Kingdom)

Author keywords

AdS CFT Correspondence; Black Holes in String Theory; Gauge gravity correspondence

Indexed keywords

EID: 77955911873     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1007/JHEP08(2010)035     Document Type: Article

References (90)

1. JM Maldacena 1998 The large-N limit of superconformal field theories and supergravity Adv. Theor. Math. Phys. 2 231 0914.53047 1633016 1998AdTMP...2..231M Int. J. Theor. Phys. 38 (1999) 1113
2. O Aharony SS Gubser JM Maldacena H Ooguri Y Oz 2000 Large-N field theories, string theory and gravity Phys. Rept. 323 183 10.1016/S0370-1573(99) 00083-6 1743597 1999PhR...323..183A
3. G Policastro DT Son AO Starinets 2002 From AdS/CFT correspondence to hydrodynamics JHEP 09 043 10.1088/1126-6708/2002/09/043 1949067 2002JHEP...09..043P
4. DT Son AO Starinets 2002 Minkowski-space correlators in AdS/CFT correspondence: Recipe and applications JHEP 09 042 10.1088/1126-6708/2002/09/ 042 1949068 2002JHEP...09..042S
5. DT Son AO Starinets 2007 Viscosity, black holes and quantum field theory Ann. Rev. Nucl. Part. Sci. 57 95 10.1146/annurev.nucl.57.090506.123120 2007ARNPS..57...95S
6. A Buchel JT Liu AO Starinets 2005 Coupling constant dependence of the shear viscosity in N = 4 supersymmetric Yang-Mills theory Nucl. Phys. B 707 56 10.1016/j.nuclphysb.2004.11.055 2115641 2005NuPhB.707...56B (Pubitemid 40131224)
7. A Buchel 2008 Resolving disagreement for eta/s in a CFT plasma at finite coupling Nucl. Phys. B 803 166 10.1016/j.nuclphysb.2008.05.024 2449939 2008NuPhB.803..166B
8. Y Kats P Petrov 2009 Effect of curvature squared corrections in AdS on the viscosity of the dual gauge theory JHEP 01 044 10.1088/1126-6708/2009/01/044 2480340 2009JHEP...01..044K
9. RC Myers MF Paulos A Sinha 2009 Quantum corrections to eta/s Phys. Rev. D 79 041901 2009PhRvD..79d1901M
10. A Buchel RC Myers MF Paulos A Sinha 2008 Universal holographic hydrodynamics at finite coupling Phys. Lett. B 669 364 2008PhLB..669..364B
11. A Buchel RC Myers A Sinha 2009 Beyond η/s = 1/4π JHEP 03 084 10.1088/1126-6708/2009/03/084 2009JHEP...03..084B
12. A Sinha RC Myers 2009 The viscosity bound in string theory Nucl. Phys. A 830 295c 298c 2009NuPhA.830..295S
13. DM Hofman J Maldacena 2008 Conformal collider physics: Energy and charge correlations JHEP 05 012 10.1088/1126-6708/2008/05/012 2008JHEP...05..012H
14. DM Hofman 2009 Higher derivative gravity, causality and positivity of energy in a UV complete QFT Nucl. Phys. B 823 174 10.1016/j.nuclphysb.2009.08. 001 2573422 2009NuPhB.823..174H
15. M Brigante H Liu RC Myers S Shenker S Yaida 2008 The viscosity bound and causality violation Phys. Rev. Lett. 100 191601 10.1103/PhysRevLett.100.191601 2008PhRvL.100s1601B (Pubitemid 351705645)
16. M Brigante H Liu RC Myers S Shenker S Yaida 2008 Viscosity bound violation in higher derivative gravity Phys. Rev. D 77 126006 2008PhRvD..77l6006B
17. A Buchel RC Myers 2009 Causality of holographic hydrodynamics JHEP 08 016 10.1088/1126-6708/2009/08/016 2580232 2009JHEP...08..016B
18. 6, Gauss-Bonnet gravity and viscosity bound JHEP 03 087 10.1007/JHEP03(2010)087
19. XO Camanho JD Edelstein 2010 Causality constraints in AdS/CFT from conformal collider physics and Gauss-Bonnet gravity JHEP 04 007 10.1007/JHEP04(2010)007
20. A Buchel, et al. 2010 Holographic GB gravity in arbitrary dimensions JHEP 03 111 10.1007/JHEP03(2010)111
21. X-H Ge S-J Sin 2009 Shear viscosity, instability and the upper bound of the Gauss-Bonnet coupling constant JHEP 05 051 10.1088/1126-6708/2009/05/051 2009JHEP...05..051G
22. R-G Cai Z-Y Nie Y-W Sun 2008 Shear viscosity from effective couplings of gravitons Phys. Rev. D 78 126007 2008PhRvD..78l6007C
23. R-G Cai Z-Y Nie N Ohta Y-W Sun 2009 Shear viscosity from Gauss-Bonnet gravity with a dilaton coupling Phys. Rev. D 79 066004 2009PhRvD..79f6004C
24. MJ Duff 1977 Observations on conformal anomalies Nucl. Phys. B 125 334 10.1016/0550-3213(77)90410-2 1977NuPhB.125..334D
25. S Nojiri SD Odintsov 2000 On the conformal anomaly from higher derivative gravity in AdS/CFT correspondence Int. J. Mod. Phys. A 15 413 1747194 2000IJMPA..15..413N
26. M Blau KS Narain E Gava 1999 On subleading contributions to the AdS/CFT trace anomaly JHEP 09 018 10.1088/1126-6708/1999/09/018 1720688 1999JHEP...09..018B
27. X-H Ge S-J Sin S-F Wu G-H Yang 2009 Shear viscosity and instability from third order Lovelock gravity Phys. Rev. D 80 104019 2009PhRvD..80j4019G
28. J de Boer M Kulaxizi A Parnachev 2010 Holographic lovelock gravities and black holes JHEP 06 008 10.1007/JHEP06(2010)008
29. XO Camanho JD Edelstein 2010 Causality in AdS/CFT and Lovelock theory JHEP 06 099 10.1007/JHEP06(2010)099
30. F-W Shu 2010 The quantum viscosity bound in lovelock gravity Phys. Lett. B 685 325 2010PhLB..685..325S
31. R.C. Myers and A. Sinha, Seeing a c-theorem with holography, arXiv:1006.1263 [ SPIRES ].
32. R.C. Myers and A. Sinha, Anomalies, central charges and holography, to appear.
33. C Imbimbo A Schwimmer S Theisen S Yankielowicz 2000 Diffeomorphisms and holographic anomalies Class. Quant. Grav. 17 1129 0952.81052 10.1088/0264-9381/17/5/322 1762814 2000CQGra..17.1129I
34. A Schwimmer S Theisen 2003 Universal features of holographic anomalies JHEP 10 001 10.1088/1126-6708/2003/10/001 2030783 2003JHEP...10..001S
35. A Schwimmer S Theisen 2008 Entanglement entropy, trace anomalies and holography Nucl. Phys. B 801 1 10.1016/j.nuclphysb.2008.04.015 2431523 2008NuPhB.801....1S
36. R.C. Myers and B. Robinson, Black Holes in Quasi-topological Gravity, arXiv:1003.5357 [ SPIRES ].
37. I Fouxon G Betschart JD Bekenstein 2008 The bound on viscosity and the generalized second law of thermodynamics Phys. Rev. D 77 024016 2390596 2008PhRvD..77b4016F
38. H Liu AA Tseytlin 1998 D = 4 super Yang-Mills, D = 5 gauged supergravity and D = 4 conformal supergravity Nucl. Phys. B 533 88 10.1016/S0550-3213(98) 00443-X 1660155 1998NuPhB.533...88L
39. G Arutyunov S Frolov 1999 Three-point Green function of the stress-energy tensor in the AdS/CFT correspondence Phys. Rev. D 60 026004 1712573 1999PhRvD..60b6004A
40. A Sinha 2010 On the new massive gravity and AdS/CFT JHEP 06 061 10.1007/JHEP06(2010)061 2005JHEP...06..061S
41. I Gullu TC Sisman B Tekin 2010 Born-Infeld extension of new massive gravity Class. Quant. Grav. 27 162001 10.1088/0264-9381/27/16/162001 2010CQGra..27p2001G
42. J. Oliva and S. Ray, A new cubic theory of gravity in five dimensions: Black hole, Birkhoff's theorem and C-function, arXiv:1003.4773 [ SPIRES ].
43. J. Oliva and S. Ray, A classification of six derivative lagrangians of gravity and static spherically symmetric solutions, arXiv:1004.0737 [ SPIRES ].
44. M Henningson K Skenderis 1998 The holographic Weyl anomaly JHEP 07 023 10.1088/1126-6708/1998/07/023 1644988 1998JHEP...07..023H
45. M Henningson K Skenderis 2000 Holography and the Weyl anomaly Fortsch. Phys. 48 125 0976.81093 10.1002/(SICI)1521-3978(20001)48:1/3<125::AID- PROP125>3.0.CO;2-B 1764060 2000ForPh..48..125H
46. VK Dobrev EK Khristova VB Petkova DB Stamenov 1974 Conformal covariant operator product expansion of two spin 1/2 fields Bulg. J. Phys. 1 42
47. V.K. Dobrev, G. Mack, V.B. Petkova, S.G. Petrova and I.T. Todorov, Harmonic analysis on the N-dimensional Lorentz group and its application to conformal quantum field theory, in Lecture Notes in Physics 63 (1977) 280 [ SPIRES ].
48. I.T. Todorov, M.C. Mintchev and V.B. Petkova, Conformal invariance in quantum field theory, Sc. Norm. Sup., Pisa Italy (1978), pg. 273 [ SPIRES ].
49. H Osborn AC Petkou 1994 Implications of conformal invariance in field theories for general dimensions Ann. Phys. 231 311 0795.53073 10.1006/aphy.1994.1045 1273863 1994AnPhy.231..311O
50. 4 Nucl. Phys. B 491 221 10.1016/S0550-3213(97)00108-9 1449059 1997NuPhB.491..221A
51. N Banerjee S Dutta 2009 Shear viscosity to entropy density ratio in six derivative gravity JHEP 07 024 10.1088/1126-6708/2009/07/024 2009JHEP...07..024B
52. J Erdmenger H Osborn 1997 Conserved currents and the energy-momentum tensor in conformally invariant theories for general dimensions Nucl. Phys. B 483 431 10.1016/S0550-3213(96)00545-7 1439442 1997NuPhB.483..431E
53. SS Gubser IR Klebanov 1997 Absorption by branes and Schwinger terms in the world volume theory Phys. Lett. B 413 41 1488898 1997PhLB..413...41G
54. T Horowitz N Itzhaki 1999 Black holes, shock waves and causality in the AdS/CFT correspondence JHEP 02 010 10.1088/1126-6708/1999/02/010 1690246 1999JHEP...02..010H
55. GT Horowitz AR Steif 1990 Space-time singularities in string theory Phys. Rev. Lett. 64 260 1050.83510 10.1103/PhysRevLett.64.260 1031660 1990PhRvL..64..260H
56. JI Latorre H Osborn 1998 Modified weak energy condition for the energy momentum tensor in quantum field theory Nucl. Phys. B 511 737 10.1016/S0550-3213(97)00667-6 1610426 1998NuPhB.511..737L
57. L. Brillouin, Wave propagation and group velocity, Academic Press (1960).
58. R Fox CG Kuper SG Lipson 1970 Faster-than-light group velocities and causality violation Proc. Roy. Soc. Lond. A 316 515 1970RSPSA.316..515F
59. E Krotscheck W Kundt 1978 Causality criteria Commun. Math. Phys. 60 171 10.1007/BF01609447 496316 1978CMaPh..60..171K
60. N Iqbal H Liu 2009 Universality of the hydrodynamic limit in AdS/CFT and the membrane paradigm Phys. Rev. D 79 025023 2009PhRvD..79b5023I
61. N Banerjee S Dutta 2009 Higher derivative corrections to shear viscosity from graviton's effective coupling JHEP 03 116 10.1088/1126-6708/2009/03/116 2009JHEP...03..116B
62. RC Myers MF Paulos A Sinha 2009 Holographic hydrodynamics with a chemical potential JHEP 06 006 10.1088/1126-6708/2009/06/006 2534749 2009JHEP...06..006M
63. MF Paulos 2010 Transport coefficients, membrane couplings and universality at extremality JHEP 02 067 10.1007/JHEP02(2010)067
64. RC Myers AO Starinets RM Thomson 2007 Holographic spectral functions and diffusion constants for fundamental matter JHEP 11 091 10.1088/1126-6708/2007/ 11/091 2362058 2007JHEP...11..091M
65. R Gregory R Laflamme 1993 Black strings and p-branes are unstable Phys. Rev. Lett. 70 2837 1051.83544 10.1103/PhysRevLett.70.2837 1215408 1993PhRvL..70.2837G
66. KM Case 1950 Singular potentials Phys. Rev. 80 797 0039.22403 10.1103/PhysRev.80.797 40532 1950PhRv...80..797C
67. V de Alfaro S Fubini G Furlan 1976 Conformal invariance in quantum mechanics Nuovo Cim. A 34 569 10.1007/BF02785666 1976NCimA..34..569A
68. SR Beane, et al. 2001 Singular potentials and limit cycles Phys. Rev. A 64 042103 2001PhRvA..64d2103B
69. L.D. Landau, E.M. Lifshitz, Quantum mechanics: non-relativistic theory, Pergamon Press (1977).
70. M. Kulaxizi and A. Parnachev, Supersymmetry constraints in holographic gravities, arXiv:0912.4244 [ SPIRES ].
71. T Banks A Zaks 1982 On the phase structure of vector-like gauge theories with massless fermions Nucl. Phys. B 196 189 10.1016/0550-3213(82)90035-9 1982NuPhB.196..189B
72. F. Sannino, Dynamical Stabilization of the Fermi scale: phase diagram of strongly coupled theories for (Minimal) walking technicolor and unparticles, arXiv:0804.0182 [ SPIRES ].
73. F. Sannino, Phase Diagrams of Strongly Interacting Theories, arXiv:1003.0289 [ SPIRES ].
74. F. Sannino, Conformal dynamics for TeV physics and cosmology, arXiv:0911.0931 [ SPIRES ].
75. E Poppitz M Ünsal 2009 Conformality or confinement: (IR)relevance of topological excitations JHEP 09 050 10.1088/1126-6708/2009/09/050 2009JHEP...09..050P
76. E Poppitz M Ünsal 2009 Conformality or confinement (II): one-flavor CFTs and mixed-representation QCD JHEP 12 011 10.1088/1126-6708/2009/12/011 2009JHEP...12..011P
77. U Gürsoy E Kiritsis 2008 Exploring improved holographic theories for QCD: part I JHEP 02 032 10.1088/1126-6708/2008/02/032
78. U Gürsoy E Kiritsis F Nitti 2008 Exploring improved holographic theories for QCD: part II JHEP 02 019 10.1088/1126-6708/2008/02/019
79. M Jarvinen F Sannino 2010 Holographic conformal window-a bottom up approach JHEP 05 041 10.1007/JHEP05(2010)041
80. F Bigazzi R Casero AL Cotrone E Kiritsis A Paredes 2005 Non-critical holography and four-dimensional CFT's with fundamentals JHEP 10 012 10.1088/1126-6708/2005/10/012 2181694 2005JHEP...10..012B (Pubitemid 41547448)
81. R Brustein AJM Medved 2009 The ratio of shear viscosity to entropy density in generalized theories of gravity Phys. Rev. D 79 021901 2009PhRvD..79b1901B
82. M. Paulos, Lovelock theories, holography and the fate of the viscosity bound.,unpublished.
83. X.O. Camanho, J.D. Edelstein and M. Paulos, in preparation.
84. D Lovelock 1971 The Einstein tensor and its generalizations J. Math. Phys. 12 498 0213.48801 10.1063/1.1665613 275835 1971JMP....12..498L
85. D Lovelock 1970 Divergence-free tensorial concomitants Aequationes Math. 4 127 0193.50602 10.1007/BF01817753 270285
86. GT Horowitz RC Myers 1998 The AdS/CFT correspondence and a new positive energy conjecture for general relativity Phys. Rev. D 59 026005 1692082 1999PhRvD..59b6005H
87. M Henneaux C Teitelboim J Zanelli 1987 Quantum mechanics for multivalued Hamiltonians Phys. Rev. A 36 4417 915319 1987PhRvA..36.4417H
88. C Teitelboim J Zanelli 1987 Dimensionally continued topological gravitation theory in Hamiltonian form Class. Quantum Grav. 4 L125 10.1088/0264-9381/4/4/010 895895 1987CQGra...4L.125T
89. J Alanen K Kajantie 2010 Thermodynamics of a field theory with infrared fixed point from gauge/gravity duality Phys. Rev. D 81 046003 2010PhRvD..81d6003A
90. J. Alanen, K. Kajantie and K. Tuominen, Thermodynamics of quasi conformal theories from gauge/gravity duality, arXiv:1003.5499 [ SPIRES ].