On universality of stress-energy tensor correlation functions in supergravity

Using Minkowski space AdS/CFT prescription we explicitly compute in the low-energy limit two-point correlation function of the boundary stress-energy tensor in a large class of type IIB supergravity backgrounds with regular translationally invariant horizon. The relevant set of supergravity backgrounds includes all geometries which can be interpreted via gauge theory/string theory correspondence as being holographically dual to finite temperature gauge theories in Minkowski space-times. Fluctuation-dissipation theorem relates this correlation function computation to the previously established universality of the shear viscosity from supergravity duals, and to the universality of the low energy absorption cross-section for minimally coupled massless scalars into a general spherically symmetric black hole. It further generalizes the latter results for the supergravity black brane geometries with non-spherical horizons.