Skip to main content
Log in

Special limits and nonrelativistic solutions

  • Published:
Journal of High Energy Physics Aims and scope Submit manuscript

Abstract

We study special vanishing horizon limit of ‘boosted’ black D3-branes having a compact light-cone direction. The type IIB solution obtained by taking such a zero temperature limit is found to describe a nonrelativistic system with dynamical exponent 3. We discuss about such limits in M2-branes case also.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

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

    ADS  MathSciNet  Google Scholar 

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

    Article  ADS  MathSciNet  Google Scholar 

  3. P. Hožava, Quantum gravity at a Lifshitz point, Phys. Rev. D 79 (2009) 084008 [arXiv:0901.3775] [SPIRES].

    ADS  Google Scholar 

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

    ADS  MathSciNet  Google Scholar 

  5. C.P. Herzog, M. Rangamani and S.F. Ross, Heating up galilean holography, JHEP 11 (2008) 080 [arXiv:0807.1099] [SPIRES].

    Article  ADS  MathSciNet  Google Scholar 

  6. J. Maldacena, D. Martelli and Y. Tachikawa, Comments on string theory backgrounds with non-relativistic conformal symmetry, JHEP 10 (2008) 072 [arXiv:0807.1100] [SPIRES].

    Article  ADS  MathSciNet  Google Scholar 

  7. J.P. Gauntlett, S. Kim, O. Varela and D. Waldram, Consistent supersymmetric Kaluza-Klein truncations with massive modes, JHEP 04 (2009) 102 [arXiv:0901.0676] [SPIRES].

    Article  ADS  Google Scholar 

  8. A. Donos and J.P. Gauntlett, Supersymmetric solutions for non-relativistic holography, JHEP 03 (2009) 138 [arXiv:0901.0818] [SPIRES].

    Article  ADS  MathSciNet  Google Scholar 

  9. N. Bobev, A. Kundu and K. Pilch, Supersymmetric IIB solutions with Schrödinger symmetry, JHEP 07 (2009) 107 [arXiv:0905.0673] [SPIRES].

    Article  ADS  MathSciNet  Google Scholar 

  10. A. Donos and J.P. Gauntlett, Solutions of type IIB and D = 11 supergravity with Schrödinger(z) symmetry, JHEP 07 (2009) 042 [arXiv:0905.1098] [SPIRES].

    Article  ADS  MathSciNet  Google Scholar 

  11. A. Donos and J.P. Gauntlett, Schrödinger invariant solutions of type IIB with enhanced supersymmetry, JHEP 10 (2009) 073 [arXiv:0907.1761] [SPIRES].

    Article  ADS  MathSciNet  Google Scholar 

  12. A. Bagchi and R. Gopakumar, Galilean conformal algebras and AdS/CFT, JHEP 07 (2009) 037 [arXiv:0902.1385] [SPIRES].

    Article  ADS  MathSciNet  Google Scholar 

  13. C. Duval and P.A. Horvathy, Non-relativistic conformal symmetries and Newton-Cartan structures, J. Phys. A 42 (2009) 465206 [arXiv:0904.0531] [SPIRES].

    ADS  MathSciNet  Google Scholar 

  14. C. Duval, M. Hassaine and P.A. Horvathy, The geometry of Schrödinger symmetry in gravity background/non-relativistic CFT, Annals Phys. 324 (2009) 1158 [arXiv:0809.3128] [SPIRES].

    Article  MATH  ADS  MathSciNet  Google Scholar 

  15. J.P. Gauntlett, J. Sonner and T. Wiseman, Holographic superconductivity in M-theory, Phys. Rev. Lett. 103 (2009) 151601 [arXiv:0907.3796] [SPIRES].

    Article  ADS  MathSciNet  Google Scholar 

  16. S.S. Gubser, C.P. Herzog, S.S. Pufu and T. Tesileanu, Superconductors from superstrings, Phys. Rev. Lett. 103 (2009) 141601 [arXiv:0907.3510] [SPIRES].

    Article  ADS  MathSciNet  Google Scholar 

  17. H. Singh, Galilean Anti-de-Sitter spacetime in Romans theory, Phys. Lett. B 682 (2009) 225 [arXiv:0909.1692] [SPIRES].

    ADS  Google Scholar 

  18. J. Jeong, H.-C. Kim, S. Lee, E. O Colgain and H. Yavartanoo, Schrödinger invariant solutions of M-theory with enhanced supersymmetry, JHEP 03 (2010) 034 [arXiv:0911.5281] [SPIRES].

    Article  ADS  Google Scholar 

  19. Y. Nakayama and S.-J. Rey, Observables and correlators in nonrelativistic ABJM theory, JHEP 08 (2009) 029 [arXiv:0905.2940] [SPIRES].

    Article  ADS  MathSciNet  Google Scholar 

  20. K. Balasubramanian and K. Narayan, Lifshitz spacetimes from AdS null and cosmological solutions, JHEP 08 (2010) 014 [arXiv:1005.3291] [SPIRES].

    Article  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] [SPIRES].

    Article  ADS  Google Scholar 

  22. H. Singh, Galilean type IIA backgrounds and a map, arXiv:1007.0866 [SPIRES].

  23. J.L.F. Barbon and C.A. Fuertes, Ideal gas matching for thermal galilean holography, Phys. Rev. D 80 (2009) 026006 [arXiv:0903.4452] [SPIRES].

    ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Harvendra Singh.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Singh, H. Special limits and nonrelativistic solutions. J. High Energ. Phys. 2010, 61 (2010). https://doi.org/10.1007/JHEP12(2010)061

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/JHEP12(2010)061

Keywords

Navigation