On S^3, curvature can stabilize R-symmetry charge transport of charged N=4 SYM plasma while thermodynamic instability persists, and volume fluctuations never restore thermodynamic stability.
The shear viscosity of gauge theory plasma with chemical potentials
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abstract
We consider strongly coupled gauge theory plasma with conserved global charges that allow for a dual gravitational description. We study the shear viscosity of the gauge theory plasma in the presence of chemical potentials for these charges. Using gauge theory/string theory correspondence we prove that at large 't Hooft coupling the ratio of the shear viscosity to the entropy density is universal.
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Instability in ${\cal N}=4$ supersymmetric Yang-Mills theory on $S^3$ at finite density
On S^3, curvature can stabilize R-symmetry charge transport of charged N=4 SYM plasma while thermodynamic instability persists, and volume fluctuations never restore thermodynamic stability.