Transport in holographic superfluids

Journal of High Energy Physics

Volumn 2011, Issue 8, 2011, Pages

  Herzog, Christopher P ^a   Lisker, Nir ^b   Surówka, Piotr ^c   Yarom, Amos ^a,b  

^a PRINCETON UNIVERSITY   (United States)

^b TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

^c VRIJE UNIVERSITEIT BRUSSEL   (Belgium)

Author keywords

Black holes in string theory; Gauge gravity correspondence; Holography and condensed matter physics (AdS CMT)

Indexed keywords

EID: 80053148559     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1007/JHEP08(2011)052     Document Type: Article

References (67)

1. Q2 J.M. Maldacena, The large-N limit of superconformal field theories and supergravity, Int. J. Theor. Phys. 38 (1999) 1113
2. Q2 J.M. Maldacena, The large-N limit of superconformal field theories and supergravity, [Adv. Theor. Math. Phys. 2 (1998) 231] [hep-th/9711200] [SPIRES].
3. S.S. Gubser, I.R. Klebanov and A.M. Polyakov, Gauge theory correlators from non-critical string theory, Phys. Lett. B 428 (1998) 105 [hep-th/9802109] [SPIRES].
4. E. Witten, Anti-de Sitter space and holography, Adv. Theor. Math. Phys. 2 (1998) 253 [hep-th/9802150] [SPIRES].
5. S. Bhattacharyya, V.E. Hubeny, S. Minwalla and M. Rangamani, Nonlinear fluid dynamics from gravity, JHEP 02 (2008) 045 [arXiv:0712.2456] [SPIRES].
6. S.A. Hartnoll, C.P. Herzog and G.T. Horowitz, Building a holographic superconductor, Phys. Rev. Lett. 101 (2008) 031601 [arXiv:0803.3295] [SPIRES].
7. C.P. Herzog, P.K. Kovtun and D.T. Son, Holographic model of superfluidity, Phys. Rev. D 79 (2009) 066002 [arXiv:0809.4870] [SPIRES].
8. P. Basu, A. Mukherjee and H.-H. Shieh, Supercurrent: vector hair for an AdS black hole, Phys. Rev. D 79 (2009) 045010 [arXiv:0809.4494] [SPIRES].
9. K.S. Thorne, R.H. Price and D.A. MacDonald, Black holes: the membrane paradigm, Yale University Press, New Haven U.S.A. (1986) [SPIRES].
10. G. Policastro, D.T. Son and A.O. Starinets, The shear viscosity of strongly coupled N = 4 supersymmetric Yang-Mills plasma, Phys. Rev. Lett. 87 (2001) 081601 [hep-th/0104066] [SPIRES].
11. P. Kovtun, D.T. Son and A.O. Starinets, Viscosity in strongly interacting quantum field theories from black hole physics, Phys. Rev. Lett. 94 (2005) 111601 [hep-th/0405231] [SPIRES].
12. A. Buchel and J.T. Liu, Universality of the shear viscosity in supergravity, Phys. Rev. Lett. 93 (2004) 090602 [hep-th/0311175] [SPIRES].
13. A. Buchel, On universality of stress-energy tensor correlation functions in supergravity, Phys. Lett. B 609 (2005) 392 [hep-th/0408095] [SPIRES].
14. R. Brustein and A.J.M. Medved, Proof of a universal lower bound on the shear viscosity to entropy density ratio, Phys. Lett. B 691 (2010) 87 [arXiv:0908.1473] [SPIRES].
15. J. Erdmenger, P. Kerner and H. Zeller, Non-universal shear viscosity from Einstein gravity, Phys. Lett. B 699 (2011) 301 [arXiv:1011.5912] [SPIRES].
16. J. Erdmenger, M. Haack, M. Kaminski and A. Yarom, Fluid dynamics of R-charged black holes, JHEP 01 (2009) 055 [arXiv:0809.2488] [SPIRES].
17. N. Banerjee et al., Hydrodynamics from charged black branes, JHEP 01 (2011) 094 [arXiv:0809.2596] [SPIRES].
18. M. Torabian and H.-U. Yee, Holographic nonlinear hydrodynamics from AdS/CFT with multiple/non-Abelian symmetries, JHEP 08 (2009) 020 [arXiv:0903.4894] [SPIRES].
19. D.T. Son and P. Surowka, Hydrodynamics with triangle anomalies, Phys. Rev. Lett. 103 (2009) 191601 [arXiv:0906.5044] [SPIRES].
20. C. Eling, Y. Neiman and Y. Oz, Holographic non-Abelian charged hydrodynamics from the dynamics of null horizons, JHEP 12 (2010) 086 [arXiv:1010.1290] [SPIRES].
21. M. Haack and A. Yarom, Universality of second order transport coefficients from the gauge-string duality, Nucl. Phys. B 813 (2009) 140 [arXiv:0811.1794] [SPIRES].
22. L. Tisza, Transport phenomena in helium II, Nature 141 (1938) 913.
23. L.D. Landau, The theory of the superfluidity of helium II, J. Phys. USSR 5 (1941) 71.
24. I.M. Khalatnikov and V.V. Lebedev, Relativistic hydrodynamics of a superfluid liquid, Phys. Lett. A 91 (1982) 70.
25. B. Carter and I.M. Khalatnikov, Equivalence of convective and potential variational derivations of covariant superfluid dynamics, Phys. Rev. D 45 (1992) 4536.
26. B. Carter and I.M. Khalatnikov, Momentum, vorticity, and helicity in covariant superfluid dynamics, Annals Phys. 219 (1992) 243.
27. W. Israel, Covariant superfluid mechanics, Phys. Lett. A 86 (1981) 79.
28. W. Israel, Equivalence of two theories of relativistic superfluid mechanics, Phys. Lett. A 92 (1982) 77.
29. D.T. Son, Hydrodynamics of relativistic systems with broken continuous symmetries, Int. J. Mod. Phys. A 16S1C (2001) 1284 [hep-ph/0011246] [SPIRES].
30. C. Pujol and D. Davesne, Relativistic dissipative hydrodynamics with spontaneous symmetry breaking, Phys. Rev. C 67 (2003) 014901 [hep-ph/0204355] [SPIRES].
31. M.A. Valle, Hydrodynamic fluctuations in relativistic superfluids, Phys. Rev. D 77 (2008) 025004 [arXiv:0707.2665] [SPIRES].
32. M.E. Gusakov and N. Andersson, Temperature dependent pulsations of superfluid neutron stars, Mon. Not. Roy. Astron. Soc. 372 (2006) 1776 [astro-ph/0602282] [SPIRES].
33. M.E. Gusakov, Bulk viscosity of superfluid neutron stars, Phys. Rev. D 76 (2007) 083001 [arXiv:0704.1071] [SPIRES].
34. M. Mannarelli and C. Manuel, Bulk viscosities of a cold relativistic superfluid: color-flavor locked quark matter, Phys. Rev. D 81 (2010) 043002 [arXiv:0909.4486] [SPIRES].
35. S.J. Putterman, North-Holland Series in Low Temperature Physics. Volume 3: Superfluid hydrodynamics, North-Holland, Amsterdam Netherlands (1974).
36. S.S. Gubser, Breaking an Abelian gauge symmetry near a b lack hole horizon, Phys. Rev. D 78 (2008) 065034 [arXiv:0801.2977] [SPIRES].
37. S.S. Gubser and S.S. Pufu, The gravity dual of a p-wave superconductor, JHEP 11 (2008) 033 [arXiv:0805.2960] [SPIRES].
38. J.-W. Chen, Y.-J. Kao, D. Maity, W.-Y. Wen and C.-P. Yeh, Towards a holographic model of d-wave superconductors, Phys. Rev. D 81 (2010) 106008 [arXiv:1003.2991] [SPIRES].
39. F. Benini, C.P. Herzog, R. Rahman and A. Yarom, Gauge gravity duality for d-wave superconductors: prospects and challenges, JHEP 11 (2010) 137 [arXiv:1007.1981] [SPIRES].
40. A. Yarom, Fourth sound of holographic superfluids, JHEP 07 (2009) 070 [arXiv:0903.1353] [SPIRES].
41. C.P. Herzog and A. Yarom, Sound modes in holographic superfluids, Phys. Rev. D 80 (2009) 106002 [arXiv:0906.4810] [SPIRES].
42. I. Amado, M. Kaminski and K. Landsteiner, Hydrodynamics of holographic superconductors, JHEP 05 (2009) 021 [arXiv:0903.2209] [SPIRES].
43. S.S. Gubser and A. Yarom, Pointlike probes of superstring-theoretic superfluids, JHEP 03 (2010) 041 [arXiv:0908.1392] [SPIRES].
44. V. Keranen, E. Keski-Vakkuri, S. Nowling and K.P. Yogendran, Inhomogeneous structures in holographic superfluids: I. Dark solitons, Phys. Rev. D 81 (2010) 126011 [arXiv:0911.1866] [SPIRES].
45. V. Keranen, E. Keski-Vakkuri, S. Nowling and K.P. Yogendran, Inhomogeneous structures in holographic superfluids: II. Vortices, Phys. Rev. D 81 (2010) 126012 [arXiv:0912.4280] [SPIRES].
46. J. Sonner and B. Withers, A gravity derivation of the Tisza-Landau model in AdS/CFT, Phys. Rev. D 82 (2010) 026001 [arXiv:1004.2707] [SPIRES].
47. D. Arean, M. Bertolini, C. Krishnan and T. Prochazka, Type IIB holographic superfluid flows, JHEP 03 (2011) 008 [arXiv:1010.5777] [SPIRES].
48. V. Keranen, E. Keski-Vakkuri, S. Nowling and K.P. Yogendran, Solitons as probes of the structure of holographic superfluids, New J. Phys. 13 (2011) 065003 [arXiv:1012.0190] [SPIRES].
49. C.P. Herzog, An analytic holographic superconductor, Phys. Rev. D 81 (2010) 126009 [arXiv:1003.3278] [SPIRES].
50. J. Bhattacharya, S. Bhattacharyya and S. Minwalla, Dissipative superfluid dynamics from gravity, JHEP 04 (2011) 125 [arXiv:1101.3332] [SPIRES].
51. L.D. Landau and E.M. Lifschitz, Course of theoretical physics. Volume 6: Fluid mechanics, 2nd edition, Elsevier Butterworth-Heinemann, Amsterdam Netherlands (2007).
52. D.T. Son, Vanishing bulk viscosities and conformal invariance of unitary Fermi gas, Phys. Rev. Lett. 98 (2007) 020604 [cond-mat/0511721] [SPIRES].
53. K.R. Atkins, Third and fourth sound in liquid helium II, Phys. Rev. 113 (1959) 962.
54. S.A. Hartnoll, Lectures on holographic methods for condensed matter physics, Class. Quant. Grav. 26 (2009) 224002 [arXiv:0903.3246] [SPIRES].
55. C.P. Herzog, Lectures on holographic superfluidity and superconductivity, J. Phys. A 42 (2009) 343001 [arXiv:0904.1975] [SPIRES].
56. G.T. Horowitz, Introduction to holographic superconductors, arXiv:1002.1722 [SPIRES].
57. S. Sachdev, Condensed matter and AdS/CFT, arXiv:1002.2947 [SPIRES].
58. V. Balasubramanian and P. Kraus, A stress tensor for anti-de Sitter gravity, Commun. Math. Phys. 208 (1999) 413 [hep-th/9902121] [SPIRES].
59. M. Bianchi, D.Z. Freedman and K. Skenderis, How to go with an RG flow, JHEP 08 (2001) 041 [hep-th/0105276] [SPIRES].
60. I.R. Klebanov and E. Witten, AdS/CFT correspondence and symmetry breaking, Nucl. Phys. B 556 (1999) 89 [hep-th/9905104] [SPIRES].
61. S. Bhattacharyya et al., Local fluid dynamical entropy from gravity, JHEP 06 (2008) 055 [arXiv:0803.2526] [SPIRES].
62. S. Bhattacharyya et al., Forced fluid dynamics from gravity, JHEP 02 (2009) 018 [arXiv:0806.0006] [SPIRES].
63. M. Haack and A. Yarom, Nonlinear viscous hydrodynamics in various dimensions using AdS/CFT, JHEP 10 (2008) 063 [arXiv:0806.4602] [SPIRES].
64. S. Bhattacharyya, R. Loganayagam, I. Mandal, S. Minwalla and A. Sharma, Conformal nonlinear fluid dynamics from gravity in arbitrary dimensions, JHEP 12 (2008) 116 [arXiv:0809.4272] [SPIRES].
65. D.T. Son and A.O. Starinets, Hydrodynamics of R-charged black holes, JHEP 03 (2006) 052 [hep-th/0601157] [SPIRES].
66. A. Buchel and S. Cremonini, Viscosity bound and causality in superfluid plasma, JHEP 10 (2010) 026 [arXiv:1007.2963] [SPIRES].
67. M. Natsuume and M. Ohta, The shear viscosity of holographic superfluids, Prog. Theor. Phys. 124 (2010) 931 [arXiv:1008.4142] [SPIRES].