Export citation

Export citation

Choose format for download:

Download Citation
  • Access by Xinjiang University

Transport coefficients of the D1-D5-P system and the membrane paradigm

Yuya Sasai*

  • Helsinki Institute of Physics and Department of Physics, University of Helsinki, P.O. Box 64, FIN-00014 Helsinki, Finland

  • *sasai@mappi.helsinki.fi

Phys. Rev. D 85, 026002 – Published 11 January, 2012

DOI: https://doi.org/10.1103/PhysRevD.85.026002

Abstract

I discuss a correspondence between string theory and the black hole membrane paradigm in the context of the D1-D5-P system. By using the Kubo formula, I calculate transport coefficients of the effective string model induced by two kinds of minimal scalars. Then, I show that these transport coefficients exactly agree with the corresponding membrane transport coefficients of a five-dimensional near-extremal black hole with three charges.

Article Text

References (24)

  1. L. Susskind, C. Teitelboim, The Black Hole (World Scientific, Singapore, 1998), p. 118.
  2. A. Sen, Mod. Phys. Lett. A 10, 2081 (1995).
  3. G. T. Horowitz and J. Polchinski, Phys. Rev. D 55, 6189 (1997).
  4. A. Strominger and C. Vafa, Phys. Lett. B 379, 99 (1996).
  5. C. G. Callan and J. M. Maldacena, Nucl. Phys. B472, 591 (1996).
  6. G. T. Horowitz, J. M. Maldacena, and A. Strominger, Phys. Lett. B 383, 151 (1996).
  7. J. M. Maldacena and L. Susskind, Nucl. Phys. B475, 679 (1996).
  8. A. Dhar, G. Mandal, and S. R. Wadia, Phys. Lett. B 388, 51 (1996).
  9. S. R. Das and S. D. Mathur, Nucl. Phys. B478, 561 (1996).
  10. S. R. Das and S. D. Mathur, Nucl. Phys. B482, 153 (1996).
  11. S. S. Gubser and I. R. Klebanov, Nucl. Phys. B482, 173 (1996).
  12. J. M. Maldacena and A. Strominger, Phys. Rev. D 55, 861 (1997).
  13. C. G. Callan, Jr., S. S. Gubser, I. R. Klebanov, and A. A. Tseytlin, Nucl. Phys. B489, 65 (1997).
  14. I. R. Klebanov and S. D. Mathur, Nucl. Phys. B500, 115 (1997).
  15. M. Krasnitz and I. R. Klebanov, Phys. Rev. D 56, 2173 (1997).
  16. J. R. David, G. Mandal, and S. R. Wadia, Phys. Rep. 369, 549 (2002).
  17. K. S. Thorne, R. H. Price, and D. A. Macdonald, Black Holes: The Membrane Paradigm (Yale Univ. Pr., New Haven, USA, 1986), p. 367.
  18. M. Parikh and F. Wilczek, Phys. Rev. D 58, 064011 (1998).
  19. Y. Sasai and A. Zahabi, Phys. Rev. D 83, 026002 (2011).
  20. Y. Sasai, Phys. Rev. D 84, 105006 (2011).
  21. N. Iqbal and H. Liu, Phys. Rev. D 79, 025023 (2009).
  22. E. Halyo, B. Kol, A. Rajaraman, and L. Susskind, Phys. Lett. B 401, 15 (1997).
  23. P. M. Chaikin and T. C. Lubensky, Principles of Condensed Matter Physics (Cambridge Univ. Pr., Cambridge, UK, 2000), p. 699.
  24. S. D. Mathur, Nucl. Phys. B529, 295 (1998).

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation