Abstract
We determine finite temperature corrections to the heavy-quark (static) potential as a function of the shear viscosity-to-entropy density ratio in a strongly coupled, large-${N}_{c}$ conformal field theory dual to five-dimensional Gauss-Bonnet gravity. We find that these corrections are even smaller than those predicted by perturbative QCD at distances relevant for small bound states in a deconfined plasma. Obtaining the dominant temperature and viscosity dependence of quarkonium binding energies will require a theory where conformal invariance is broken in such a way that the free energy associated with a single heavy quark is not just a pure entropy contribution.
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