Hydrodynamics of R-charged black holes. (English) Zbl 1226.83038
Summary: We consider hydrodynamics of \(\mathcal N = 4\) supersymmetric \(SU(N_{c})\) Yang-Mills plasma at a nonzero density of \(R\)-charge. In the regime of large \(N_{c}\) and large ’t Hooft coupling the gravity dual description involves an asymptotically Anti-de Sitter five-dimensional charged black hole solution of K. Behrnd, M. Cvetič and W. A. Sabra [Nucl. Phys., B 553, No. 1–2, 317–332 (1999; Zbl 0949.83072)]. We compute the shear viscosity as a function of chemical potentials conjugated to the three \(U(1)\subset SO(6)_{R}\) charges. The ratio of the shear viscosity to entropy density is independent of the chemical potentials and is equal to \(1/4\pi \). For a single charge black hole we also compute the thermal conductivity, and investigate the critical behavior of the transport coefficients near the boundary of thermodynamic stability.
MSC:
83C57 | Black holes |
83E30 | String and superstring theories in gravitational theory |
81T30 | String and superstring theories; other extended objects (e.g., branes) in quantum field theory |
81T60 | Supersymmetric field theories in quantum mechanics |
Citations:
Zbl 0949.83072References:
[2] | doi:10.1016/S0370-2693(98)00377-3 · Zbl 1355.81126 · doi:10.1016/S0370-2693(98)00377-3 |
[4] | doi:10.1016/S0370-1573(99)00083-6 · Zbl 1368.81009 · doi:10.1016/S0370-1573(99)00083-6 |
[6] | doi:10.1103/PhysRevLett.94.111601 · doi:10.1103/PhysRevLett.94.111601 |
[7] | doi:10.1016/j.physletb.2005.01.052 · Zbl 1247.83220 · doi:10.1016/j.physletb.2005.01.052 |
[8] | doi:10.1016/S0550-3213(99)00194-7 · Zbl 0947.81085 · doi:10.1016/S0550-3213(99)00194-7 |
[9] | doi:10.1103/PhysRevD.60.064018 · doi:10.1103/PhysRevD.60.064018 |
[11] | doi:10.1016/S0550-3213(99)00243-6 · Zbl 0949.83072 · doi:10.1016/S0550-3213(99)00243-6 |
[12] | doi:10.1142/S0217732399001966 · doi:10.1142/S0217732399001966 |
[16] | doi:10.1103/PhysRevD.72.086009 · doi:10.1103/PhysRevD.72.086009 |
[17] | doi:10.1007/s002200050764 · Zbl 0946.83013 · doi:10.1007/s002200050764 |
[20] | doi:10.1103/PhysRevD.68.066012 · doi:10.1103/PhysRevD.68.066012 |
[27] | doi:10.1103/PhysRevLett.34.455 · doi:10.1103/PhysRevLett.34.455 |
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.