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Lifshitz-like space-time from intersecting branes in string/M theory

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Abstract

We construct 1/4 BPS, threshold F-Dp bound states (with 0 ≤ p ≤ 5) of type II string theories by applying S- and T-dualities to the D1-D5 system of type IIB string theory. These are different from the known 1/2 BPS, non-threshold F-Dp bound states. The near horizon limits of these solutions yield Lifshitz-like space-times with varying dynamical critical exponent z = 2(5 − p)/(4 − p), for p = 4, along with the hyperscaling violation exponent θ = p − (p − 2)/(4 − p), showing how Lifshitz-like space-time can be obtained from string theory. The dilatons are in general non-constant (except for p = 1). We discuss the holographic RG flows and the phase structures of these solutions. For p = 4, we do not get a Lifshitz-like space-time, but the near horizon limit in this case leads to an AdS2 space.

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References

  1. G. ’t Hooft, Dimensional reduction in quantum gravity, gr-qc/9310026 [INSPIRE].

  2. L. Susskind, The World as a hologram, J. Math. Phys. 36 (1995) 6377 [hep-th/9409089] [INSPIRE].

    Article  MathSciNet  ADS  MATH  Google Scholar 

  3. J.M. Maldacena, The Large-N limit of superconformal field theories and supergravity, Adv. Theor. Math. Phys. 2 (1998) 231 [hep-th/9711200] [INSPIRE].

    MathSciNet  ADS  MATH  Google Scholar 

  4. 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].

    Article  MathSciNet  ADS  Google Scholar 

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

    MathSciNet  ADS  MATH  Google Scholar 

  6. O. Aharony, S.S. Gubser, J.M. Maldacena, H. Ooguri and Y. Oz, Large-N field theories, string theory and gravity, Phys. Rept. 323 (2000) 183 [hep-th/9905111] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  7. J. Erlich, Recent Results in AdS/QCD, PoS(CONFINEMENT8)032 [arXiv:0812.4976] [INSPIRE].

  8. J. Erdmenger, N. Evans, I. Kirsch and E. Threlfall, Mesons in Gauge/Gravity Duals - A Review, Eur. Phys. J. A 35 (2008) 81 [arXiv:0711.4467] [ INSPIRE ].

    Article  ADS  Google Scholar 

  9. K. Peeters and M. Zamaklar, The String/gauge theory correspondence in QCD, Eur. Phys. J. ST 152 (2007) 113 [arXiv:0708.1502] [INSPIRE].

    Article  Google Scholar 

  10. J. Casalderrey-Solana, H. Liu, D. Mateos, K. Rajagopal and U.A. Wiedemann, Gauge/String Duality, Hot QCD and Heavy Ion Collisions, arXiv:1101.0618 [INSPIRE].

  11. 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 

  12. C.P. Herzog, Lectures on Holographic Superfluidity and Superconductivity, J. Phys. A 42 (2009) 343001 [arXiv:0904.1975] [INSPIRE].

    Google Scholar 

  13. J. McGreevy, Holographic duality with a view toward many-body physics, Adv. High Energy Phys. 2010 (2010) 723105 [arXiv:0909.0518] [INSPIRE].

    Google Scholar 

  14. 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].

    Article  Google Scholar 

  15. 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 

  16. 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 

  17. 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 

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

  19. S.A. Hartnoll, J. Polchinski, E. Silverstein and D. Tong, Towards strange metallic holography, JHEP 04 (2010) 120 [arXiv:0912.1061].

    Article  ADS  Google Scholar 

  20. K. Balasubramanian and K. Narayan, Lifshitz spacetimes from AdS null and cosmological solutions, Journal of High Energy Physics 8 (2010) 14 [arXiv:1005.3291].

    Article  MathSciNet  ADS  Google Scholar 

  21. A. Donos and J.P. Gauntlett, Lifshitz solutions of D = 10 and D = 11 supergravity, JHEP 12 (2010) 002 [arXiv:1008.2062].

    Article  MathSciNet  ADS  Google Scholar 

  22. R. Gregory, S.L. Parameswaran, G. Tasinato and I. Zavala, Lifshitz solutions in supergravity and string theory, JHEP 12 (2010) 047 [arXiv:1009.3445] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  23. A. Donos, J.P. Gauntlett, N. Kim and O. Varela, Wrapped M5-branes, consistent truncations and AdS/CMT, JHEP 12 (2010) 003 [arXiv:1009.3805].

    Article  MathSciNet  ADS  Google Scholar 

  24. D. Cassani and A.F. Faedo, Constructing Lifshitz solutions from AdS, JHEP 05 (2011) 013 [arXiv:1102.5344].

    Article  MathSciNet  ADS  Google Scholar 

  25. N. Halmagyi, M. Petrini and A. Zaffaroni, Non-Relativistic Solutions of N = 2 Gauged Supergravity, JHEP 08 (2011) 041 [arXiv:1102.5740] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  26. B. Gouteraux and E. Kiritsis, Generalized Holographic Quantum Criticality at Finite Density, JHEP 12 (2011) 036 [arXiv:1107.2116] [INSPIRE].

    Article  ADS  Google Scholar 

  27. K. Narayan, Lifshitz-like systems and AdS null deformations, Phys. Rev. D 84 (2011) 086001 [arXiv:1103.1279] [INSPIRE].

    ADS  Google Scholar 

  28. W. Chemissany and J. Hartong, From D3-branes to Lifshitz Space-Times, Class. Quant. Grav. 28 (2011) 195011 [arXiv:1105.0612] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  29. H. Singh, Special limits and nonrelativistic solutions, JHEP 12 (2010) 061 [arXiv:1009.0651].

    Article  ADS  Google Scholar 

  30. A.A. Tseytlin, Harmonic superpositions of M-branes, Nucl. Phys. B 475 (1996) 149 [hep-th/9604035] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  31. J.P. Gauntlett, Intersecting branes, hep-th/9705011 [INSPIRE].

  32. J. Breckenridge, G. Michaud and R.C. Myers, More D-brane bound states, Phys. Rev. D 55 (1997) 6438 [hep-th/9611174] [INSPIRE].

    MathSciNet  ADS  Google Scholar 

  33. J.G. Russo and A.A. Tseytlin, Waves, boosted branes and BPS states in M-theory, Nucl. Phys. B 490 (1997) 121 [hep-th/9611047].

    Article  MathSciNet  ADS  Google Scholar 

  34. M. Costa and G. Papadopoulos, Superstring dualities and p-brane bound states, Nucl. Phys. B 510 (1998) 217 [hep-th/9612204] [INSPIRE].

    MathSciNet  ADS  Google Scholar 

  35. J. Lu and S. Roy, Nonthreshold (f, Dp) bound states, Nucl. Phys. B 560 (1999) 181 [hep-th/9904129] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  36. N. Ogawa, T. Takayanagi and T. Ugajin, Holographic Fermi Surfaces and Entanglement Entropy, JHEP 01 (2012) 125 [arXiv:1111.1023] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  37. 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].

    Article  ADS  Google Scholar 

  38. 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 

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

    ADS  Google Scholar 

  40. B.S. Kim, Schr\”odinger Holography with and without Hyperscaling Violation, arXiv:1202.6062.

  41. D.S. Fisher, Scaling and critical slowing down in random-field Ising systems, Phys. Rev. Lett. 56 (1986) 416 [INSPIRE].

    Article  ADS  Google Scholar 

  42. A.A. Tseytlin, ’No force’ condition and BPS combinations of p-branes in eleven-dimensions and ten-dimensions, Nucl. Phys. B 487 (1997) 141 [hep-th/9609212] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  43. H. Singh, Lifshitz/Schródinger Dp-branes and dynamical exponents, arXiv:1202.6533 [INSPIRE].

  44. R. Kallosh and J. Kumar, Supersymmetry enhancement of D-p-branes and M-branes, Phys. Rev. D 56 (1997) 4934 [hep-th/9704189] [INSPIRE].

    MathSciNet  ADS  Google Scholar 

  45. H.J. Boonstra, B. Peeters and K. Skenderis, Duality and asymptotic geometries, Physics Letters B 411 (1997) 59 [arXiv:hep-th/9706192].

    MathSciNet  ADS  Google Scholar 

  46. H. Lü, C. Pope, E. Sezgin and K. Stelle, Stainless super p-branes, Nucl. Phys. B 456 (1995) 669 [hep-th/9508042] [INSPIRE].

    Article  ADS  Google Scholar 

  47. L. Huijse and S. Sachdev, Fermi surfaces and gauge-gravity duality, Phys. Rev. D 84 (2011) 026001 [arXiv:1104.5022] [INSPIRE].

    ADS  Google Scholar 

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  1. Saha Institute of Nuclear Physics, 1/AF Bidhannagar, Calcutta, 700 064, India

    Parijat Dey & Shibaji Roy

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  1. Parijat Dey
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  2. Shibaji Roy
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Correspondence to Shibaji Roy.

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Dey, P., Roy, S. Lifshitz-like space-time from intersecting branes in string/M theory. J. High Energ. Phys. 2012, 129 (2012). https://doi.org/10.1007/JHEP06(2012)129

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