Abstract
We study R-charge transport in a wide class of strongly-coupled supersymmetric plasmas at finite temperature with ’t Hooft coupling corrections. To achieve this, we use the gauge/string duality and include the full set of \( \mathcal{O}\left( {{\alpha^{'3}}} \right) \) corrections to the super-gravity backgrounds given at zeroth order by the direct product of the AdS5-Schwarzschild black hole with a five-dimensional compact Einstein manifold. On general grounds, the reduction leads to a large number of higher derivative operators, which we reduce using the symmetries of the solution. We are left with a universal set of operators whose coefficients can in principle be fixed by carrying out an explicit compactification. We apply our results to the computation of the R-charge conductivity of the supersymmetric plasma at finite yet strong coupling.
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E. Shuryak, Why does the quark gluon plasma at RHIC behave as a nearly ideal fluid?, Prog. Part. Nucl. Phys. 53 (2004) 273 [hep-ph/0312227] [SPIRES].
M. Gyulassy and L. McLerran, New forms of QCD matter discovered at RHIC, Nucl. Phys. A 750 (2005) 30 [nucl-th/0405013] [SPIRES].
B. Müller, From quark-gluon Plasma to the Perfect Liquid, Acta Phys. Polon. B 38 (2007) 3705 [arXiv:0710.3366] [SPIRES].
J. Casalderrey-Solana and C.A. Salgado, Introductory lectures on jet quenching in heavy ion collisions, Acta Phys. Polon. B 38 (2007) 3731 [arXiv:0712.3443] [SPIRES].
E. Shuryak, Physics of Strongly coupled quark-gluon Plasma, Prog. Part. Nucl. Phys. 62 (2009) 48 [arXiv:0807.3033] [SPIRES].
U.W. Heinz, The strongly coupled quark-gluon plasma created at RHIC, J. Phys. A 42 (2009) 214003 [arXiv:0810.5529 [SPIRES].
E. Iancu, Partons and jets in a strongly-coupled plasma from AdS/CFT, Acta Phys. Polon. B 39 (2008) 3213 [arXiv:0812.0500] [SPIRES].
J. Polchinski and M.J. Strassler, Deep inelastic scattering and gauge/string duality, JHEP 05 (2003) 012 [hep-th/0209211] [SPIRES].
J.M. Maldacena, The large-N limit of superconformal field theories and supergravity, Int. J. Theor. Phys. 38 (1999) 1113 [Adv. Theor. Math. Phys. 2 (1998) 231] [hep-th/9711200] [SPIRES].
S.S. Gubser, I.R. Klebanov and A.M. Polyakov, Gauge theory correlators from non-critical string theory, Phys. Lett. B 428 (1998) 105 [hep-th/9802109] [SPIRES].
E. Witten, Anti-de Sitter space and holography, Adv. Theor. Math. Phys. 2 (1998) 253 [hep-th/9802150] [SPIRES].
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] [SPIRES].
D.T. Son and A.O. Starinets, Minkowski-space correlators in AdS/CFT correspondence: Recipe and applications, JHEP 09 (2002) 042 [hep-th/0205051] [SPIRES].
G. Policastro, D.T. Son and A.O. Starinets, From AdS/CFT correspondence to hydrodynamics, JHEP 09 (2002) 043 [hep-th/0205052] [SPIRES].
G. Policastro, D.T. Son and A.O. Starinets, The shear viscosity of strongly coupled N = 4 supersymmetric Yang-Mills plasma, Phys. Rev. Lett. 87 (2001) 081601 [hep-th/0104066] [SPIRES].
P. Kovtun, D.T. Son and A.O. Starinets, Holography and hydrodynamics: Diffusion on stretched horizons, JHEP 10 (2003) 064 [hep-th/0309213] [SPIRES].
P. Kovtun, D.T. Son and A.O. Starinets, Viscosity in strongly interacting quantum field theories from black hole physics, Phys. Rev. Lett. 94 (2005) 111601 [hep-th/0405231] [SPIRES].
S. Caron-Huot, P. Kovtun, G.D. Moore, A. Starinets and L.G. Yaffe, Photon and dilepton production in supersymmetric Yang-Mills plasma, JHEP 12 (2006) 015 [hep-th/0607237] [SPIRES].
A. Buchel, R.C. Myers, M.F. Paulos and A. Sinha, Universal holographic hydrodynamics at finite coupling, Phys. Lett. B 669 (2008) 364 [arXiv:0808.1837] [SPIRES].
R.C. Myers, A.O. Starinets and R.M. Thomson, Holographic spectral functions and diffusion constants for fundamental matter, JHEP 11 (2007) 091 [arXiv:0706.0162] [SPIRES].
A. Karch and E. Katz, Adding flavor to AdS/CFT, JHEP 06 (2002) 043 [hep-th/0205236] [SPIRES].
A. Buchel, J.T. Liu and A.O. Starinets, Coupling constant dependence of the shear viscosity in N = 4 supersymmetric Yang-Mills theory, Nucl. Phys. B 707 (2005) 56 [hep-th/0406264] [SPIRES].
P. Benincasa and A. Buchel, Transport properties of N = 4 supersymmetric Yang-Mills theory at finite coupling, JHEP 01 (2006) 103 [hep-th/0510041] [SPIRES].
A. Buchel, Resolving disagreement for eta/s in a CFT plasma at finite coupling, Nucl. Phys. B 803 (2008) 166 [arXiv:0805.2683] [SPIRES].
R.C. Myers, M.F. Paulos and A. Sinha, Quantum corrections to eta/s, Phys. Rev. D 79 (2009) 041901 [arXiv:0806.2156] [SPIRES].
A. Ritz and J. Ward, Weyl corrections to holographic conductivity, Phys. Rev. D 79 (2009) 066003 [arXiv:0811.4195] [SPIRES].
R.C. Myers, M.F. Paulos and A. Sinha, Holographic Hydrodynamics with a Chemical Potential, JHEP 06 (2009) 006 [arXiv:0903.2834] [SPIRES].
S. Cremonini, K. Hanaki, J.T. Liu and P. Szepietowski, Higher derivative effects on eta/s at finite chemical potential, Phys. Rev. D 80 (2009) 025002 [arXiv:0903.3244] [SPIRES].
B. Hassanain and M. Schvellinger, Holographic current correlators at finite coupling and scattering off a supersymmetric plasma, JHEP 04 (2010) 012 [arXiv:0912.4704] [SPIRES].
A. Buchel and J.T. Liu, Gauged supergravity from type IIB string theory on Y(p,q) manifolds, Nucl. Phys. B 771 (2007) 93 [hep-th/0608002] [SPIRES].
R. Argurio, Brane physics in M-theory, hep-th/9807171 [SPIRES].
M. Cvetič et al., Embedding AdS black holes in ten and eleven dimensions, Nucl. Phys. B 558 (1999) 96 [hep-th/9903214] [SPIRES].
A. Chamblin, R. Emparan, C.V. Johnson and R.C. Myers, Charged AdS black holes and catastrophic holography, Phys. Rev. D 60 (1999) 064018 [hep-th/9902170] [SPIRES].
T.A. Tran, Gauged supergravities from spherical reductions, hep-th/0109092 [SPIRES].
T. Banks and M.B. Green, Non-perturbative effects in AdS 5 × S 5 string theory and D = 4 SUSY Yang-Mills, JHEP 05 (1998) 002 [hep-th/9804170] [SPIRES].
S.S. Gubser, I.R. Klebanov and A.A. Tseytlin, Coupling constant dependence in the thermodynamics of N = 4 supersymmetric Yang-Mills theory, Nucl. Phys. B 534 (1998) 202 [hep-th/9805156] [SPIRES].
J. Pawelczyk and S. Theisen, AdS 5 × S 5 black hole metric at O(α ′3 ), JHEP 09 (1998) 010 [hep-th/9808126] [SPIRES].
S. de Haro, A. Sinkovics and K. Skenderis, A supersymmetric completion of the R 4 term in IIB supergravity, Phys. Rev. D 67 (2003) 084010 [hep-th/0210080] [SPIRES].
S. de Haro, A. Sinkovics and K. Skenderis, On α′ corrections to D-brane solutions, Phys. Rev. D 68 (2003) 066001 [hep-th/0302136] [SPIRES].
K. Peeters and A. Westerberg, The Ramond-Ramond sector of string theory beyond leading order, Class. Quant. Grav. 21 (2004) 1643 [hep-th/0307298] [SPIRES].
G. Policastro and D. Tsimpis, R 4 , purified, Class. Quant. Grav. 23 (2006) 4753 [hep-th/0603165] [SPIRES].
D.M. Hofman, Higher Derivative Gravity, Causality and Positivity of Energy in a UV complete QFT, Nucl. Phys. B 823 (2009) 174 [arXiv:0907.1625] [SPIRES].
A. Sinha and R.C. Myers, The viscosity bound in string theory, Nucl. Phys. A 830 (2009) 295c–298c[arXiv:0907.4798] [SPIRES].
M.F. Paulos, Higher derivative terms including the Ramond-Ramond five-form, JHEP 10 (2008) 047 [arXiv:0804.0763] [SPIRES].
K. Peeters, A field-theory motivated approach to symbolic computer algebra, Comput. Phys. Commun. 176 (2007) 550 [cs/0608005].
K. Peeters, Introducing Cadabra: A symbolic computer algebra system for field theory problems, hep-th/0701238 [SPIRES].
A. Buchel, R.C. Myers and A. Sinha, Beyond η/s = 1/4pi, JHEP 03 (2009) 084 [arXiv:0812. 2521] [SPIRES].
K. Peeters, private communication.
B. Hassanain and M. Schvellinger, Plasma conductivity from string theory, work in preparation.
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Hassanain, B., Schvellinger, M. Towards ’t Hooft parameter corrections to charge transport in strongly-coupled plasma. J. High Energ. Phys. 2010, 68 (2010). https://doi.org/10.1007/JHEP10(2010)068
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DOI: https://doi.org/10.1007/JHEP10(2010)068