The Quantum Viscosity Bound In Lovelock Gravity

Based on the finite-temperature AdS/CFT correspondence, we calculate the ratio of shear viscosity to entropy density in any Lovelock theories to any order. Our result shows that any Lovelock correction terms except the Gauss-Bonnet term have no contribution to the value of $\eta \mathrm{/}s$. This result is consistent with that of Brustein and Medved’s prediction.