Wilsonian approach to fluid/gravity duality

Journal of High Energy Physics

Volumn 2011, Issue 3, 2011, Pages

  Bredberg, Irene ^a   Keeler, Cynthia ^a   Lysov, Vyacheslav ^a   Strominger, Andrew ^a  

^a HARVARD UNIVERSITY   (United States)

Author keywords

Black holes; Classical theories of gravity; Holography and condensed matter physics (AdS CMT)

Indexed keywords

EID: 80053105697     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1007/JHEP03(2011)141     Document Type: Article

References (54)

1. S. W. Hawking and J. B. Hartle, Energy and angular momentum flow into a black hole, Commun. Math. Phys. 27 (1972) 283.
2. J. B. Hartle, Tidal friction in slowly rotating black holes, Phys. Rev. D 8 (1973) 1010.
3. J. B. Hartle, Tidal shapes and shifts on rotating black holes, Phys. Rev. D 9 (1974) 2749.
4. T. Damour, Quelques propriétés mécaniques, électromagnétiques, thermodynamiques et quantiques des trous noirs, Thèse de Doctorat d'Etat, Université Pierre et Marie Curie, Paris VI, Fance (1979).
5. T. Damour, Black hole Eddy currents, Phys. Rev. D 18 (1978) 3598.
6. R. L. Znajek, The electric and magnetic conductivity of a Kerr hole, Mon. Not. Roy. Astron. Soc. 185 (1978) 833.
7. nd Marcel Grossmann Meeting on general Relativity, R. Ruffini ed., North-Holland, The Netherlands (1982).
8. R. H. Price and K. S. Thorne, Membrane viewpoint on black holes: properties and evolution of the stretched horizon, Phys. Rev. D 33 (1986) 915.
9. K. S. Thorne, R. H. Price and D. A. Macdonald, Black holes: the membrane paradigm, Yale University Press, U. S. A. (1986), p. 367.
10. T. Damour and M. Lilley, String theory, gravity and experiment, arXiv: 0802.4169.
11. G. Policastro, D. T. Son and A. O. Starinets, The shear viscosity of strongly coupled N = 4 super symmetric Yang-Mills plasma, Phys. Rev. Lett. 87 (2001) 081601 [hep-th/0104066].
12. G. Policastro, D. T. Son and A. O. Starinets, From AdS/CFT correspondence to hydrodynamics, JHEP 09 (2002) 043 [hep-th/0205052].
13. P. Kovtun, D. T. Son and A. O. Starinets, Holography and hydrodynamics: diffusion on stretched horizons, JHEP 10 (2003) 064 [hep-th/0309213].
14. H. Kodama, A. Ishibashi and O. Seto, Brane world cosmology: gauge-invariant formalism for perturbation, Phys. Rev. D 62 (2000) 064022 [hep-th/0004160].
15. C. P. Herzog, The hydrodynamics of M-theory, JHEP 12 (2002) 026 [hep-th/0210126].
16. G. Policastro, D. T. Son and A. O. Starinets, From AdS/CFT correspondence to hydrodynamics. II: sound waves, JHEP 12 (2002) 054 [hep-th/0210220].
17. * hydrodynamics, Nucl. Phys. B 708 (2005) 451 [hep-th/0406200].
18. P. K. Kovtun and A. O. Starinets, Quasinormal modes and holography, Phys. Rev. D 72 (2005) 086009 [hep-th/0506184].
19. P. Benincasa, A. Buchel and R. Naryshkin, The shear viscosity of gauge theory plasma with chemical potentials, Phys. Lett. B 645 (2007) 309 [hep-th/0610145].
20. Y. Kats and P. Petrov, Effect of curvature squared corrections in AdS on the viscosity of the dual gauge theory, JHEP 01 (2009) 044 [arXiv: 0712. 0743].
21. M. Brigante, H. Liu, R. C. Myers, S. Shenker and S. Yaida, Viscosity bound violation in higher derivative gravity, Phys. Rev. D 77 (2008) 126006 [arXiv: 0712. 0805].
22. P. Kovtun and A. Ritz, Universal conductivity and central charges, Phys. Rev. D 78 (2008) 066009 [arXiv:0806.0110].
23. A. O. Starinets, Quasinormal spectrum and the black hole membrane paradigm, Phys. Lett. B 670 (2009) 442 [arXiv:0806.3797].
24. S. Bhattacharyya, S. Minwalla and S. R. Wadia, The incompressible non-relativistic Navier-Stokes equation from gravity, JHEP 08 (2009) 059 [arXiv: 0810.1545].
25. A. Buchel, R. C. Myers and A. Sinha, Beyond ζ/s = 1/4π, JHEP 03 (2009) 084 [arXiv: 0812. 2521].
26. A. Buchel et al., Holographic GB gravity in arbitrary dimensions, JHEP 03 (2010) 111 [arXiv: 0911.4257].
27. S. Cremonini, K. Hanaki, J. T. Liu and P. Szepietowski, Black holes in five-dimensional gauged supergravity with higher derivatives, JHEP 12 (2009) 045 [arXiv: 0812.3572].
28. R. C. Myers, M. F. Paulos and A. Sinha, Holographic hydrodynamics with a chemical potential, JHEP 06 (2009) 006 [arXiv: 0903. 2834].
29. S. Cremonini, K. Hanaki, J. T. Liu and P. Szepietowski, Higher derivative effects on ζ/s at finite chemical potential, Phys. Rev. D 80 (2009) 025002 [arXiv: 0903. 3244].
30. D. T. Son and A. O. Starinets, Viscosity, black holes and quantum field theory, Ann. Rev. Nucl. Part. Sci. 57 (2007) 95 [arXiv:0704.0240].
31. A. Buchel and J. T. Liu, Universality of the shear viscosity in supergravity, Phys. Rev. Lett. 93 (2004) 090602 [hep-th/0311175].
32. N. Iqbal and H. Liu, Universality of the hydrodynamic limit in AdS/CFT and the membrane paradigm, Phys. Rev. D 79 (2009) 025023 [arXiv: 0809.3808].
33. C. Eling, I. Fouxon and Y. Oz, The incompressible Navier-Stokes equations from membrane dynamics, Phys. Lett. B 680 (2009) 496 [arXiv: 0905. 3638].
34. C. Eling and Y. Oz, Relativistic CFT hydrodynamics from the membrane paradigm, JHEP 02 (2010) 069 [arXiv:0906.4999].
35. M. F. Paulos, Transport coefficients, membrane couplings and universality at extremality, JHEP 02 (2010) 067 [arXiv:0910.4602].
36. N. Banerjee and S. Dutta, Nonlinear hydrodynamics from flow of retarded Green's function, JHEP 08 (2010) 041 [arXiv: 1005.2367].
37. S. A. Hartnoll, Lectures on holographic methods for condensed matter physics, Class. Quant. Grav. 26 (2009) 224002 [arXiv: 0903. 3246].
38. J. McGreevy, Holographic duality with a view toward many-body physics, Adv. High Energy Phys. 2010 (2010) 723105 [arXiv: 0909. 0518].
39. S. Sachdev, Condensed matter and AdS/CFT, arXiv: 1002. 2947.
40. J. Polchinski, Semi-holographic Fermi liquids, talk at Strings 2010, March 15-19, College Station, U. S. A. (2010).
41. S. Bhattacharyya et al., Forced fluid dynamics from gravity, JHEP 02 (2009) 018 [arXiv: 0806. 0006].
42. A. Strominger and C. Vafa, Microscopic origin of the Bekenstein-Hawking entropy, Phys. Lett. B 379 (1996) 99 [hep-th/9601029].
43. J. M. Maldacena, The large-N limit of superconformal field theories and supergravity, Adv. Theor. Math. Phys. 2 (1998) 231
44. [Int. J. Theor. Phys. 38 (1999) 1113] [hep-th/9711200].
45. T. Jacobson, Thermodynamics of space-time: the Einstein equation of state, Phys. Rev. Lett. 75 (1995) 1260 [gr-qc/9504004].
46. E. P. Verlinde, On the origin of gravity and the laws of Newton, arXiv: 1001.0785.
47. M. Van Raamsdonk, Comments on quantum gravity and entanglement, arXiv: 0907. 2939.
48. M. Van Raamsdonk, Building up spacetime with quantum entanglement, Gen. Rel. Grav. 42 (2010) 2323 [arXiv: 1005.3035].
49. S. A. Hartnoll, C. P. Herzog and G. T. Horowitz, Holographic superconductors, JHEP 12 (2008) 015 [arXiv:0810.1563].
50. I. R. Klebanov and M. J. Strassler, Supergravity and a confining gauge theory: duality cascades and χSB-resolution of naked singularities, JHEP 08 (2000) 052 [hep-th/0007191].
51. R. Gopakumar, S. Minwalla, N. Seiberg and A. Strominger, OM theory in diverse dimensions, JHEP 08 (2000) 008 [hep-th/0006062].
52. D. Z. Freedman, S. S. Gubser, K. Pilch and N. P. Warner, Renormalization group flows from holography supersymmetry and a c-theorem, Adv. Theor. Math. Phys. 3 (1999) 363 [hep-th/9904017].
53. T. Padmanabhan, Thermodynamical aspects of gravity: new insights, Rept. Prog. Phys. 73 (2010) 046901 [arXiv: 0911. 5004].
54. R. C. Myers, M. F. Paulos and A. Sinha, Quantum corrections to √s, Phys. Rev. D 79 (2009) 041901 [arXiv:0806.2156].