Causal three-point functions and nonlinear second-order hydrodynamic coefficients in AdS/CFT

A bstractIn the context of $ \mathcal{N} = {4} $ SYM, we compute the finite ’t Hooft coupling λ correction to the non-linear second-order hydrodynamic coefficient λ3 from a Kubo formula based on fully retarded three-point functions using AdS/CFT. Although λ3 is known to vanish in the infinite ’t Hooft coupling limit, we find that the finite λ correction is non-zero. We also present a set of Kubo formulae for the non-linear coefficients λ1,2,3, which is more convenient than the one that has appeared recently elsewhere.