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On holography with hyperscaling violation

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Abstract

We study certain features of strongly coupled theories with hyperscaling violation by making use of their gravitational duals. We will consider models with an anisotropic scaling in time or in one of spatial directions. In particular for the case where the anisotropic scaling is along a spatial direction we will compute the holographic entanglement entropy and show that for specific values of the parameters it exhibits a logarithmic violation of the area law. We will also probe the backgrounds by different closed and open strings which in turn can be used to read, for example, effective potential of an external object, drag force and etc.

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References

  1. J.M. Maldacena, The large-N limit of superconformal field theories and supergravity, Adv. Theor. Math. Phys. 2 (1998) 231 [Int. J. Theor. Phys. 38 (1999) 1113] [hep-th/9711200] [INSPIRE].

    MathSciNet  ADS  MATH  Google Scholar 

  2. S. Gubser, I.R. Klebanov and A.M. Polyakov, Gauge theory correlators from noncritical string theory, Phys. Lett. B 428 (1998) 105 [hep-th/9802109] [INSPIRE].

    MathSciNet  ADS  Google Scholar 

  3. E. Witten, Anti-de Sitter space and holography, Adv. Theor. Math. Phys. 2 (1998) 253 [hep-th/9802150] [INSPIRE].

    MathSciNet  ADS  MATH  Google Scholar 

  4. S.A. Hartnoll, Lectures on holographic methods for condensed matter physics, Class. Quant. Grav. 26 (2009) 224002 [arXiv:0903.3246] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  5. S. Kachru, X. Liu and M. Mulligan, Gravity duals of Lifshitz-like fixed points, Phys. Rev. D 78 (2008) 106005 [arXiv:0808.1725] [INSPIRE].

    MathSciNet  ADS  Google Scholar 

  6. P. Koroteev and M. Libanov, On existence of self-tuning solutions in static braneworlds without singularities, JHEP 02 (2008) 104 [arXiv:0712.1136] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  7. M. Taylor, Non-relativistic holography, arXiv:0812.0530 [INSPIRE].

  8. D. Son, Toward an AdS/cold atoms correspondence: a geometric realization of the Schrödinger symmetry, Phys. Rev. D 78 (2008) 046003 [arXiv:0804.3972] [INSPIRE].

    MathSciNet  ADS  Google Scholar 

  9. K. Balasubramanian and J. McGreevy, Gravity duals for non-relativistic CFTs, Phys. Rev. Lett. 101 (2008) 061601 [arXiv:0804.4053] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  10. M. Alishahiha and O.J. Ganor, Twisted backgrounds, pp waves and nonlocal field theories, JHEP 03 (2003) 006 [hep-th/0301080] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  11. E. Perlmutter, Domain wall holography for finite temperature scaling solutions, JHEP 02 (2011) 013 [arXiv:1006.2124] [INSPIRE].

    ADS  Google Scholar 

  12. G. Bertoldi, B.A. Burrington and A.W. Peet, Thermal behavior of charged dilatonic black branes in AdS and UV completions of Lifshitz-like geometries, Phys. Rev. D 82 (2010) 106013 [arXiv:1007.1464] [INSPIRE].

    ADS  Google Scholar 

  13. G. Bertoldi, B.A. Burrington, A.W. Peet and I.G. Zadeh, Lifshitz-like black brane thermodynamics in higher dimensions, Phys. Rev. D 83 (2011) 126006 [arXiv:1101.1980] [INSPIRE].

    ADS  Google Scholar 

  14. K. Goldstein, N. Iizuka, S. Kachru, S. Prakash, S.P. Trivedi, et al., Holography of dyonic dilaton black branes, JHEP 10 (2010) 027 [arXiv:1007.2490] [INSPIRE].

    Article  ADS  Google Scholar 

  15. 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].

    Article  ADS  Google Scholar 

  16. P. Berglund, J. Bhattacharyya and D. Mattingly, Charged dilatonic AdS black branes in arbitrary dimensions, JHEP 08 (2012) 042 [arXiv:1107.3096] [INSPIRE].

    Article  ADS  Google Scholar 

  17. 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].

    Article  ADS  Google Scholar 

  18. B. Gouteraux and E. Kiritsis, Generalized holographic quantum criticality at finite density, JHEP 12 (2011) 036 [arXiv:1107.2116] [INSPIRE].

    Article  ADS  Google Scholar 

  19. 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].

    ADS  Google Scholar 

  20. 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].

    Article  ADS  Google Scholar 

  21. N. Ogawa, T. Takayanagi and T. Ugajin, Holographic Fermi surfaces and entanglement entropy, JHEP 01 (2012) 125 [arXiv:1111.1023] [INSPIRE].

    Article  ADS  Google Scholar 

  22. J. Bhattacharya, S. Cremonini and A. Sinkovics, On the IR completion of geometries with hyperscaling violation, arXiv:1208.1752 [INSPIRE].

  23. N. Kundu, P. Narayan, N. Sircar and S.P. Trivedi, Entangled dilaton dyons, arXiv:1208.2008 [INSPIRE].

  24. M. Fujita, T. Nishioka and T. Takayanagi, Geometric entropy and Hagedorn/deconfinement transition, JHEP 09 (2008) 016 [arXiv:0806.3118] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  25. I. Bah, L.A. Pando Zayas and C.A. Terrero-Escalante, Holographic geometric entropy at finite temperature from black holes in global Anti de Sitter spaces, Int. J. Mod. Phys. A 27 (2012) 1250048 [arXiv:0809.2912] [INSPIRE].

    ADS  Google Scholar 

  26. S. Ryu and T. Takayanagi, Holographic derivation of entanglement entropy from AdS/CFT, Phys. Rev. Lett. 96 (2006) 181602 [hep-th/0603001] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  27. S. Ryu and T. Takayanagi, Aspects of holographic entanglement entropy, JHEP 08 (2006) 045 [hep-th/0605073] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  28. J. de Boer, M. Kulaxizi and A. Parnachev, Holographic entanglement entropy in Lovelock gravities, JHEP 07 (2011) 109 [arXiv:1101.5781] [INSPIRE].

    Article  ADS  Google Scholar 

  29. S.-J. Rey and J.-T. Yee, Macroscopic strings as heavy quarks in large-N gauge theory and Anti-de Sitter supergravity, Eur. Phys. J. C 22 (2001) 379 [hep-th/9803001] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  30. J.M. Maldacena, Wilson loops in large-N field theories, Phys. Rev. Lett. 80 (1998) 4859 [hep-th/9803002] [INSPIRE].

    Article  MathSciNet  ADS  MATH  Google Scholar 

  31. S.S. Gubser, Drag force in AdS/CFT, Phys. Rev. D 74 (2006) 126005 [hep-th/0605182] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  32. E. Kiritsis, Lorentz violation, gravity, dissipation and holography, arXiv:1207.2325 [INSPIRE].

  33. A. Akhavan, M. Alishahiha, A. Davody and A. Vahedi, Non-relativistic CFT and semi-classical strings, JHEP 03 (2009) 053 [arXiv:0811.3067] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  34. K.B. Fadafan, Drag force in asymptotically Lifshitz spacetimes, arXiv:0912.4873 [INSPIRE].

  35. U. Gürsoy, E. Kiritsis, L. Mazzanti and F. Nitti, Langevin diffusion of heavy quarks in non-conformal holographic backgrounds, JHEP 12 (2010) 088 [arXiv:1006.3261] [INSPIRE].

    Article  Google Scholar 

  36. K.B. Fadafan, H. Liu, K. Rajagopal and U.A. Wiedemann, Stirring strongly coupled plasma, Eur. Phys. J. C 61 (2009) 553 [arXiv:0809.2869] [INSPIRE].

    Article  ADS  Google Scholar 

  37. C. Athanasiou, P.M. Chesler, H. Liu, D. Nickel and K. Rajagopal, Synchrotron radiation in strongly coupled conformal field theories, Phys. Rev. D 81 (2010) 126001 [Erratum ibid. D 84 (2011)069901] [arXiv:1001.3880] [INSPIRE].

    ADS  Google Scholar 

  38. K.B. Fadafan and H. Soltanpanahi, Energy loss in a strongly coupled anisotropic plasma, JHEP 10 (2012) 085 [arXiv:1206.2271] [INSPIRE].

    Article  ADS  Google Scholar 

  39. M. Ali-Akbari and U. Gürsoy, Rotating strings and energy loss in non-conformal holography, JHEP 01 (2012) 105 [arXiv:1110.5881] [INSPIRE].

    Article  ADS  Google Scholar 

  40. K. Narayan, On Lifshitz scaling and hyperscaling violation in string theory, Phys. Rev. D 85 (2012) 106006 [arXiv:1202.5935] [INSPIRE].

    ADS  Google Scholar 

  41. M. Ammon, M. Kaminski and A. Karch, Hyperscaling-violation on probe D-branes, arXiv:1207.1726 [INSPIRE].

  42. S. Gubser, I. Klebanov and A.M. Polyakov, A semiclassical limit of the gauge/string correspondence, Nucl. Phys. B 636 (2002) 99 [hep-th/0204051] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  43. J.A. Minahan, Circular semiclassical string solutions on AdS 5 × S 5, Nucl. Phys. B 648 (2003) 203 [hep-th/0209047] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  44. M. Alishahiha and A.E. Mosaffa, Circular semiclassical string solutions on confining AdS/CFT backgrounds, JHEP 10 (2002) 060 [hep-th/0210122] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

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Authors and Affiliations

  1. School of physics, Institute for Research in Fundamental Sciences (IPM), P.O. Box 19395-5531, Tehran, Iran

    Mohsen Alishahiha

  2. Department of Physics, Kyung-Hee University, Seoul, 130-701, Korea

    Hossein Yavartanoo

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  1. Mohsen Alishahiha
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  2. Hossein Yavartanoo
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Correspondence to Mohsen Alishahiha.

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ArXiv ePrint: 1208.6197

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Alishahiha, M., Yavartanoo, H. On holography with hyperscaling violation. J. High Energ. Phys. 2012, 34 (2012). https://doi.org/10.1007/JHEP11(2012)034

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  • DOI: https://doi.org/10.1007/JHEP11(2012)034

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