Holographic quantum liquids in 1+1 dimensions

Journal of High Energy Physics

Volumn 2010, Issue 1, 2010, Pages

  Hung, Ling Yan ^a   Sinha, Aninda ^a  

^a PERIMETER INSTITUTE FOR THEORETICAL PHYSICS   (Canada)

Author keywords

AdS CFT correspondences; Field theories in lower dimensions; Intersecting branes models

Indexed keywords

EID: 77954969787     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1007/JHEP01(2010)114     Document Type: Article

References (67)

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) 1113] [hep-th/9711200]
3. E. Witten, Anti-de Sitter space, thermal phase transition and confinement in gauge theories, Adv. Theor. Math. Phys. 2 (1998) 505 [hep-th/9803131]
4. F. Denef, S. A. Hartnoll and S. Sachdev, Quantum oscillations and black hole ringing, Phys. Rev. D 80 (2009) 126016 [arXiv:0908.1788]
5. C. P. Herzog and A. Yarom, Sound modes in holographic superfluids, Phys. Rev. D 80 (2009) 106002 [arXiv:0906.4810]
6. G. T. Horowitz and M. M. Roberts, Zero temperature limit of holographic superconductors, JHEP 11 (2009) 015 [arXiv:0908.3677]
7. S. S. Gubser, S. S. Pufu and F. D. Rocha, Quantum critical superconductors in string theory and M-theory, Phys. Lett. B 683 (2010) 201 [arXiv:0908.0011]
8. J. P. Gauntlett, J. Sonner and T. Wiseman, Holographic superconductivity in M-theory, Phys. Rev. Lett. 103 (2009) 151601 [arXiv:0907.3796]
9. 2, arXiv:0907.2694
10. S. S. Gubser and A. Nellore, Ground states of holographic superconductors, Phys. Rev. D 80 (2009) 105007 [arXiv:0908.1972]
11. P. Basu, J. He, A. Mukherjee and H.-H. Shieh, Holographic non-Fermi liquid in a background magnetic field, arXiv:0908.1436
12. J. Alanen, E. Keski-Vakkuri, P. Kraus and V. Suur-Uski, AC transport at holographic quantum Hall transitions, JHEP 11 (2009) 014 [arXiv:0905.4538]
13. A. Starinets, Holographic recipes for relativistic heavy ion physics, talk given at PASCOS, Hamburg Germany 2009.
14. J. McGreevy, Holographic duality with a view toward many-body physics, arXiv:0909.0518
15. S. A. Hartnoll, Lectures on holographic methods for condensed matter physics, Class. Quant. Grav. 26 (2009) 224002 [arXiv:0903.3246]
16. J. Voit, One-dimensional Fermi liquids, Rept. Prog. Phys. 58 (1995) 977 [cond-mat/9510014].
17. P. W. Anderson, "Luttinger-liquid" behavior of the normal metallic state of the 2D Hubbard model, Phys. Rev. Lett. 64 (1990) 1839
18. X. G. Wen, Quantum Field Theory of many-body systems, Oxford University Press, Oxford U. K. (2004).
19. T. Giamarchi, Quantum physics in one dimension, Clarendon Press, Oxford U. K. (2003).
20. J. M. Luttinger, An exactly soluble model of a many-fermion system, J. Math. Phys. 4 (1963) 1154.
21. F. Haldane, Luttinger liquid theory of one-dimensional quantum fluids: I. Properties of the Luttinger model and their extension to general 1D interacting spinless Fermi gas, J. Phys. C 14 (1981) 2585
22. N. R. Constable, J. Erdmenger, Z. Guralnik and I. Kirsch, Intersecting D3-branes and holography, Phys. Rev. D 68 (2003) 106007 [hep-th/0211222]
23. A. Karch, A. O'Bannon and K. Skenderis, Holographic renormalization of probe D-branes in AdS/CFT, JHEP 04 (2006) 015 [hep-th/0512125]
24. D. Mateos, R. C. Myers and R. M. Thomson, Thermodynamics of the brane, JHEP 05 (2007) 067 [hep-th/0701132]
25. S. Kobayashi, D. Mateos, S. Matsuura, R. C. Myers and R. M. Thomson, Holographic phase transitions at finite baryon density, JHEP 02 (2007) 016 [hep-th/0611099]
26. R. C. Myers, A. O. Starinets and R. M. Thomson, Holographic spectral functions and diffusion constants for fundamental matter, JHEP 11 (2007) 091 [arXiv:0706.0162]
27. D. Mateos, S. Matsuura, R. C. Myers and R. M. Thomson, Holographic phase transitions at finite chemical potential, JHEP 11 (2007) 085 [arXiv:0709.1225]
28. R. C. Myers and A. Sinha, The fast life of holographic mesons, JHEP 06 (2008) 052 [arXiv:0804.2168]
29. J. Mas, J. P. Shock, J. Tarrio and D. Zoakos, Holographic spectral functions at finite baryon density, JHEP 09 (2008) 009 [arXiv:0805.2601]
30. J. Erdmenger, M. Kaminski, P. Kerner and F. Rust, Finite baryon and isospin chemical potential in AdS/CFT with flavor, JHEP 11 (2008) 031 [arXiv:0807.2663]
31. H.-H. Shieh and G. van Anders, Comments on holographic Fermi surfaces, JHEP 03 (2009) 019 [arXiv:0810.1661]
32. M. Kulaxizi and A. Parnachev, Holographic responses of fermion matter, Nucl. Phys. B 815 (2009) 125 [arXiv:0811.2262]
33. R. C. Myers and M. C. Wapler, Transport properties of holographic defects, JHEP 12 (2008) 115 [arXiv:0811.0480]
34. M. C. Wapler, Holographic experiments on defects, arXiv:0909.1698
35. A. Karch, D. T. Son and A. O. Starinets, Zero sound from holography, arXiv:0806.3796
36. M. Kulaxizi and A. Parnachev, Comments on Fermi liquid from holography, Phys. Rev. D 78 (2008) 086004 [arXiv:0808.3953]
37. Q. J. Ejaz, T. Faulkner, H. Liu, K. Rajagopal and U. A. Wiedemann, A limiting velocity for quarkonium propagation in a strongly coupled plasma via AdS/CFT, JHEP 04 (2008) 089 [arXiv:0712.0590]
38. K.-Y. Kim and I. Zahed, Baryonic response of dense holographic QCD, JHEP 12 (2008) 075 [arXiv:0811.0184]
39. S. Rao and D. Sen, An introduction to bosonization and some of its applications, cond-mat/0005492
40. O. M. Auslaender et al., Spin-charge separation and localization in one dimension, Science 308 (2005) 88 [cond-mat/0507065].
41. Y. Jompol et al., Probing spin-charge separation in a Tomonaga-Luttinger liquid, Science 325 (2009) 597.
42. E. Witten, Anti-de Sitter space and holography, Adv. Theor. Math. Phys. 2 (1998) 253 [hep-th/9802150]
43. I. R. Klebanov and E. Witten, AdS/CFT correspondence and symmetry breaking, Nucl. Phys. B 556 (1999) 89 [hep-th/9905104]
44. M. Bianchi, D. Z. Freedman and K. Skenderis, How to go with an RG flow, JHEP 08 (2001) 041 [hep-th/0105276]
45. A. Núñez and A. O. Starinets, AdS/CFT correspondence, quasinormal modes and thermal correlators in N = 4 SYM, Phys. Rev. D 67 (2003) 124013 [hep-th/0302026]
46. J. Gomis and S. Matsuura, Bubbling surface operators and S-duality, JHEP 06 (2007) 025 [arXiv:0704.1657]
47. N. Drukker, J. Gomis and S. Matsuura, Probing N = 4 SYM with surface operators, JHEP 10 (2008) 048 [arXiv:0805.4199]
48. D. T. Son and A. O. Starinets, Hydrodynamics of R-charged black holes, JHEP 03 (2006) 052 [hep-th/0601157]
49. I. Amado, M. Kaminski and K. Landsteiner, Hydrodynamics of holographic superconductors, JHEP 05 (2009) 021 [arXiv:0903.2209]
50. H. Liu, J. McGreevy and D. Vegh, Non-Fermi liquids from holography, arXiv:0903.2477
51. M. Aganagic, C. Popescu and J. H. Schwarz, D-brane actions with local kappa symmetry, Phys. Lett. B 393 (1997) 311 [hep-th/9610249]
52. M. Aganagic, C. Popescu and J. H. Schwarz, Gauge-invariant and gauge-fixed D-brane actions, Nucl. Phys. B 495 (1997) 99 [hep-th/9612080]
53. N. Iqbal and H. Liu, Real-time response in AdS/CFT with application to spinors, Fortsch. Phys. 57 (2009) 367 [arXiv: 0903. 2596]
54. M. Bockrath et al., Luttinger-liquid behavior in carbon nanotubes, Nature 397 (1999) 598.
55. G. D. Mahan, Many-particle physics, Kluwer Academic/Plenum Publishers, London U. K. (2000).
56. C. Kane, L. Balents and M. P. A. Fisher, Coulomb interactions and mesoscopic effects in carbon nanotubes, Phys. Rev. Lett. 79 (1997) 5086
57. E. Levy, Luttinger-liquid behavior in weakly disordered quantum wires, Phys. Rev. Lett. 97 (2006) 196802 [cond-mat/0509027].
58. A. Buchel, J. T. Liu and A. O. Starinets, Coupling constant dependence of the shear viscosity in N = 4 super symmetric Yang-Mills theory, Nucl. Phys. B 707 (2005) 56 [hep-th/0406264]
59. s, Phys. Rev. D 79 (2009) 041901 [arXiv:0806.2156]
60. 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]
61. s = 1/4π, JHEP 03 (2009) 084 [arXiv: 0812. 2521]
62. A. Sinha and R. C. Myers, The viscosity bound in string theory, Nucl. Phys. A 830 (2009) 295c-298c [arXiv:0907.4798]
63. X. G. Wen, Chiral Luttinger liquid and the edge excitations in the fractional quantum Hall states, Phys. Rev. B 41 (1990) 12838
64. M. Fujita, W. Li, S. Ryu and T. Takayanagi, Fractional quantum Hall effect via holography: Chern-Simons, edge states and hierarchy, JHEP 06 (2009) 066 [arXiv: 0901.0924]
65. A. Sinha and L.-Y. Hung, work in progress.
66. S.-I. Suga, Tomonaga-Luttinger liquid in quasi-one-dimensional antiferromagnet BaCo2V2O8 in magnetic fields, J. Phys. Soc. Jap. 77 (2008) 074717 [arXiv: 0805. 2971].
67. D. Maity, S. Sarkar, N. Sircar, B. Sathiapalan and R. Shankar, Properties of CFTs dual to charged BTZ black-hole, arXiv: 0909.4051