Extremal horizons with reduced symmetry: Hyperscaling violation, stripes, and a classification for the homogeneous case

Journal of High Energy Physics

Volumn 2013, Issue 3, 2013, Pages

  Iizuka, Norihiro ^a   Kachru, Shamit ^b,c   Kundu, Nilay ^d   Narayan, Prithvi ^e   Sircar, Nilanjan ^d   Trivedi, Sandip P ^d   Wang, Huajia ^b,c  

^a KYOTO UNIVERSITY   (Japan)

^b STANFORD UNIVERSITY   (United States)

^c SLAC NATIONAL ACCELERATOR LABORATORY   (United States)

^d TATA INSTITUTE OF FUNDAMENTAL RESEARCH   (India)

^e WEIZMANN INSTITUTE OF SCIENCE   (Israel)

Author keywords

AdS CFT Correspondence; Gauge gravity correspondence; Holography and condensed matter physics (AdS CMT)

Indexed keywords

EID: 84876273241     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1007/JHEP03(2013)126     Document Type: Article

References (61)

1. N. Iizuka et al., Bianchi attractors: a classification of extremal black brane geometries, JHEP 07 (2012) 193 [ arXiv:1201.4861 ] [ INSPIRE ].
2. S.A. Hartnoll, Lectures on holographic methods for condensed matter physics, Class. Quant. Grav. 26 (2009) 224002 [ arXiv:0903.3246 ] [ INSPIRE ].
3. C.P. Herzog, Lectures on holographic superfluidity and superconductivity, J. Phys. A 42 (2009) 343001 [ arXiv:0904.1975 ] [ INSPIRE ].
4. J. McGreevy, Holographic duality with a view toward many-body physics, Adv. High Energy Phys. 2010 (2010) 723105 [ arXiv:0909.0518 ] [ INSPIRE ].
5. S. Sachdev, What can gauge-gravity duality teach us about condensed matter physics?, Ann. Rev. Condensed Matter Phys. 3 (2012) 9 [ arXiv:1108.1197 ] [ INSPIRE ].
6. P.A. Lee, N. Nagaosa and X.-G. Wen, Doping a Mott insulator: physics of high-temperature superconductivity, Rev. Mod. Phys. 78 (2006) 17 [ INSPIRE ]. (Pubitemid 43279669)
7. K. Rajagopal and F. Wilczek, The condensed matter physics of QCD, in At the frontier of particle physics, volume 3, M. Shifman ed., World Scientific, Singapore (2000), pg. 2061 [ hep-ph/0011333 ] [ INSPIRE ].
8. S. Kachru, X. Liu and M. Mulligan, Gravity duals of Lifshitz-like fixed points, Phys. Rev. D 78 (2008) 106005 [ arXiv:0808.1725 ] [ INSPIRE ].
9. M. Taylor, Non-relativistic holography, arXiv:0812.0530 [ INSPIRE ].
10. K. Goldstein, S. Kachru, S. Prakash and S.P. Trivedi, Holography of charged dilaton black holes, JHEP 08 (2010) 078 [ arXiv:0911.3586 ] [ INSPIRE ].
11. K. Goldstein et al., Holography of dyonic dilaton black branes, JHEP 10 (2010) 027 [ arXiv:1007.2490 ] [ INSPIRE ].
12. C. Charmousis, B. Gouteraux, B. Kim, E. Kiritsis and R. Meyer, Effective holographic theories for low-temperature condensed matter systems, JHEP 11 (2010) 151 [ arXiv:1005.4690 ] [ INSPIRE ].
13. B. Gouteraux and E. Kiritsis, Generalized holographic quantum criticality at finite density, JHEP 12 (2011) 036 [ arXiv:1107.2116 ] [ INSPIRE ].
14. N. Iizuka, N. Kundu, P. Narayan and S.P. Trivedi, Holographic Fermi and non-Fermi liquids with transitions in dilaton gravity, JHEP 01 (2012) 094 [ arXiv:1105.1162 ] [ INSPIRE ].
15. N. Ogawa, T. Takayanagi and T. Ugajin, Holographic Fermi surfaces and entanglement entropy, JHEP 01 (2012) 125 [ arXiv:1111.1023 ] [ INSPIRE ].
16. L. Huijse, S. Sachdev and B. Swingle, Hidden Fermi surfaces in compressible states of gauge-gravity duality, Phys. Rev. B 85 (2012) 035121 [ arXiv:1112.0573 ] [ INSPIRE ].
17. E. Shaghoulian, Holographic entanglement entropy and Fermi surfaces, JHEP 05 (2012) 065 [ arXiv:1112.2702 ] [ INSPIRE ].
18. X. Dong, S. Harrison, S. Kachru, G. Torroba and H. Wang, Aspects of holography for theories with hyperscaling violation, JHEP 06 (2012) 041 [ arXiv:1201.1905 ] [ INSPIRE ].
19. E. Perlmutter, Domain wall holography for finite temperature scaling solutions, JHEP 02 (2011) 013 [ arXiv:1006.2124 ] [ INSPIRE ].
20. E. Perlmutter, Hyperscaling violation from supergravity, JHEP 06 (2012) 165 [ arXiv:1205.0242 ] [ INSPIRE ].
21. K. Narayan, On Lifshitz scaling and hyperscaling violation in string theory, Phys. Rev. D 85 (2012) 106006 [ arXiv:1202.5935 ] [ INSPIRE ].
22. S.K. Domokos and J.A. Harvey, Baryon number-induced Chern-Simons couplings of vector and axial-vector mesons in holographic QCD, Phys. Rev. Lett. 99 (2007) 141602 [ arXiv:0704.1604 ] [ INSPIRE ]. (Pubitemid 47549460)
23. M. Rozali, H.-H. Shieh, M. Van Raamsdonk and J. Wu, Cold nuclear matter in holographic QCD, JHEP 01 (2008) 053 [ arXiv:0708.1322 ] [ INSPIRE ].
24. S. Nakamura, H. Ooguri and C.-S. Park, Gravity dual of spatially modulated phase, Phys. Rev. D 81 (2010) 044018 [ arXiv:0911.0679 ] [ INSPIRE ].
25. H. Ooguri and C.-S. Park, Holographic end-point of spatially modulated phase transition, Phys. Rev. D 82 (2010) 126001 [ arXiv:1007.3737 ] [ INSPIRE ].
26. H. Ooguri and C.-S. Park, Spatially modulated phase in holographic quark-gluon plasma, Phys. Rev. Lett. 106 (2011) 061601 [ arXiv:1011.4144 ] [ INSPIRE ].
27. A. Donos, J.P. Gauntlett and C. Pantelidou, Spatially modulated instabilities of magnetic black branes, JHEP 01 (2012) 061 [ arXiv:1109.0471 ] [ INSPIRE ].
28. A. Donos and J.P. Gauntlett, Holographic helical superconductors, JHEP 12 (2011) 091 [ arXiv:1109.3866 ] [ INSPIRE ].
29. A. Donos and J.P. Gauntlett, Helical superconducting black holes, Phys. Rev. Lett. 108 (2012) 211601 [ arXiv:1203.0533 ] [ INSPIRE ].
30. A. Donos and J.P. Gauntlett, Black holes dual to helical current phases, Phys. Rev. D 86 (2012) 064010 [ arXiv:1204.1734 ] [ INSPIRE ].
31. R. Flauger, E. Pajer and S. Papanikolaou, A striped holographic superconductor, Phys. Rev. D 83 (2011) 064009 [ arXiv:1010.1775 ] [ INSPIRE ].
32. A. Donos and J.P. Gauntlett, Holographic striped phases, JHEP 08 (2011) 140 [ arXiv:1106.2004 ] [ INSPIRE ].
33. J.A. Hutasoit, G. Siopsis and J. Therrien, Conductivity of strongly coupled striped superconductor, arXiv:1208.2964 [ INSPIRE ].
34. N. Jokela, M. Jarvinen and M. Lippert, Fluctuations and instabilities of a holographic metal, JHEP 02 (2013) 007 [ arXiv:1211.1381 ] [ INSPIRE ].
35. M. Rozali, D. Smyth, E. Sorkin and J.B. Stang, Holographic stripes, arXiv:1211.5600 [ INSPIRE ].
36. A. Donos, J.P. Gauntlett, J. Sonner and B. Withers, Competing orders in M-theory: superfluids, stripes and metamagnetism, arXiv:1212.0871 [ INSPIRE ].
37. V. Kaplunovsky, D. Melnikov and J. Sonnenschein, Baryonic popcorn, JHEP 11 (2012) 047 [ arXiv:1201.1331 ] [ INSPIRE ].
38. J. de Boer, B.D. Chowdhury, M.P. Heller and J. Jankowski, Towards a holographic realization of the Quarkyonic phase, arXiv:1209.5915 [ INSPIRE ].
39. Y.-Y. Bu, J. Erdmenger, J.P. Shock and M. Strydom, Magnetic field induced lattice ground states from holography, submitted to JHEP (2012) [ arXiv:1210.6669 ] [ INSPIRE ].
40. M. Ammon, J. Erdmenger, P. Kerner and M. Strydom, Black hole instability induced by a magnetic field, Phys. Lett. B 706 (2011) 94 [ arXiv:1106.4551 ] [ INSPIRE ].
41. L. Bianchi, Sugli spazi a tre dimensioni che ammettono un gruppo continuo di movimenti (in Italian), Soc. Ital. Sci. Mem. Mat. 11 (1898) 267.
42. M.P. Ryan and L.C. Shepley, Homogeneous relativistic cosmologies, Princeton Series in Physics, Princeton University Press, Princeton (1975) [ISBN:0-691-0153-0].
43. L.D. Landau and E.M. Lifshitz, The classical theory of fields, Pergamon Press, Oxford U.K. (1980) [ISBN:0-08-025072-6].
44. J. Patera and P. Winternitz, Subalgebras of real three-dimensional and four-dimensional Lie algebras, J. Math. Phys. 18 (1977) 1449 [ INSPIRE ].
45. M.A.H. MacCallum, On the classification of the real four-dimensional Lie algebras, On Einstein's path, Springer, Germany (1999), pg. 299.
46. S. Kachru, R. Kallosh and M. Shmakova, Generalized attractor points in gauged supergravity, Phys. Rev. D 84 (2011) 046003 [ arXiv:1104.2884 ] [ INSPIRE ].
47. K. Inbasekar and P.K. Tripathy, Generalized attractors in five-dimensional gauged supergravity, JHEP 09 (2012) 003 [ arXiv:1206.3887 ] [ INSPIRE ].
48. C. Pope, Kaluza-Klein theory, http://faculty.physics.tamu.edu/pope/ ihplec.pdf.
49. B. Gouteraux, J. Smolic, M. Smolic, K. Skenderis and M. Taylor, Holography for Einstein-Maxwell-dilaton theories from generalized dimensional reduction, JHEP 01 (2012) 089 [ arXiv:1110.2320 ] [ INSPIRE ].
50. K. Copsey and R. Mann, Pathologies in asymptotically Lifshitz spacetimes, JHEP 03 (2011) 039 [ arXiv:1011.3502 ] [ INSPIRE ].
51. G.T. Horowitz and B. Way, Lifshitz singularities, Phys. Rev. D 85 (2012) 046008 [ arXiv:1111.1243 ] [ INSPIRE ].
52. S. Harrison, S. Kachru and H. Wang, Resolving Lifshitz horizons, arXiv:1202.6635 [ INSPIRE ].
53. N. Bao, X. Dong, S. Harrison and E. Silverstein, The benefits of stress: resolution of the Lifshitz singularity, Phys. Rev. D 86 (2012) 106008 [ arXiv:1207.0171 ] [ INSPIRE ].
54. J. Bhattacharya, S. Cremonini and A. Sinkovics, On the IR completion of geometries with hyperscaling violation, JHEP 02 (2013) 147 [ arXiv:1208.1752 ] [ INSPIRE ].
55. N. Kundu, P. Narayan, N. Sircar and S.P. Trivedi, Entangled dilaton dyons, arXiv:1208.2008 [ INSPIRE ].
56. S. Barisch, G. Lopes Cardoso, M. Haack, S. Nampuri and N.A. Obers, Nernst branes in gauged supergravity, JHEP 11 (2011) 090 [ arXiv:1108.0296 ] [ INSPIRE ].
57. S. Barisch-Dick, G. Lopes Cardoso, M. Haack and S. Nampuri, Extremal black brane solutions in five-dimensional gauged supergravity, JHEP 02 (2013) 103 [ arXiv:1211.0832 ] [ INSPIRE ].
58. C.M. Brown and O. DeWolfe, The Gödel-Schrödinger spacetime and stringy chronology protection, JHEP 01 (2012) 032 [ arXiv:1110.3840 ] [ INSPIRE ].
59. G.T. Horowitz, J.E. Santos and D. Tong, Further evidence for lattice-induced scaling, JHEP 11 (2012) 102 [ arXiv:1209.1098 ] [ INSPIRE ].
60. G.T. Horowitz, J.E. Santos and D. Tong, Optical conductivity with holographic lattices, JHEP 07 (2012) 168 [ arXiv:1204.0519 ] [ INSPIRE ].
61. A. Donos and S.A. Hartnoll, Universal linear in temperature resistivity from black hole superradiance, Phys. Rev. D 86 (2012) 124046 [ arXiv:1208.4102 ] [ INSPIRE ].