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Transport coefficients of the D1-D5-P system and the membrane paradigm
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)
- L. Susskind, C. Teitelboim, The Black Hole (World Scientific, Singapore, 1998), p. 118.
- A. Sen, Mod. Phys. Lett. A 10, 2081 (1995).
- G. T. Horowitz and J. Polchinski, Phys. Rev. D 55, 6189 (1997).
- A. Strominger and C. Vafa, Phys. Lett. B 379, 99 (1996).
- C. G. Callan and J. M. Maldacena, Nucl. Phys. B472, 591 (1996).
- G. T. Horowitz, J. M. Maldacena, and A. Strominger, Phys. Lett. B 383, 151 (1996).
- J. M. Maldacena and L. Susskind, Nucl. Phys. B475, 679 (1996).
- A. Dhar, G. Mandal, and S. R. Wadia, Phys. Lett. B 388, 51 (1996).
- S. R. Das and S. D. Mathur, Nucl. Phys. B478, 561 (1996).
- S. R. Das and S. D. Mathur, Nucl. Phys. B482, 153 (1996).
- S. S. Gubser and I. R. Klebanov, Nucl. Phys. B482, 173 (1996).
- J. M. Maldacena and A. Strominger, Phys. Rev. D 55, 861 (1997).
- C. G. Callan, Jr., S. S. Gubser, I. R. Klebanov, and A. A. Tseytlin, Nucl. Phys. B489, 65 (1997).
- I. R. Klebanov and S. D. Mathur, Nucl. Phys. B500, 115 (1997).
- M. Krasnitz and I. R. Klebanov, Phys. Rev. D 56, 2173 (1997).
- J. R. David, G. Mandal, and S. R. Wadia, Phys. Rep. 369, 549 (2002).
- K. S. Thorne, R. H. Price, and D. A. Macdonald, Black Holes: The Membrane Paradigm (Yale Univ. Pr., New Haven, USA, 1986), p. 367.
- M. Parikh and F. Wilczek, Phys. Rev. D 58, 064011 (1998).
- Y. Sasai and A. Zahabi, Phys. Rev. D 83, 026002 (2011).
- Y. Sasai, Phys. Rev. D 84, 105006 (2011).
- N. Iqbal and H. Liu, Phys. Rev. D 79, 025023 (2009).
- E. Halyo, B. Kol, A. Rajaraman, and L. Susskind, Phys. Lett. B 401, 15 (1997).
- P. M. Chaikin and T. C. Lubensky, Principles of Condensed Matter Physics (Cambridge Univ. Pr., Cambridge, UK, 2000), p. 699.
- S. D. Mathur, Nucl. Phys. B529, 295 (1998).