On universality of stress-energy tensor correlation functions in supergravity

TL;DR

This paper computes the two-point correlation function of the boundary stress-energy tensor in various supergravity backgrounds, demonstrating universality related to shear viscosity and absorption cross-sections in holographic duals.

Contribution

It explicitly calculates stress-energy tensor correlators in a broad class of supergravity backgrounds, extending universality results to non-spherical horizons.

Findings

Confirmed universality of shear viscosity in supergravity duals.

Extended universality of low energy absorption cross-section to non-spherical horizons.

Established the correlation functions' independence from specific background details.

Abstract

Using the Minkowski space AdS/CFT prescription we explicitly compute in the low-energy limit the two-point correlation function of the boundary stress-energy tensor in a large class of type IIB supergravity backgrounds with a 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. The 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.