Stress tensor correlators in three-dimensional gravity

TL;DR

This paper computes boundary stress tensor correlators in 3D Einstein gravity holographically, providing explicit formulas up to five points and confirming consistency with Galilean conformal field theory, thus supporting flat space holography.

Contribution

It offers explicit holographic calculations of stress tensor correlators in three-dimensional gravity and verifies their consistency with Galilean conformal field theory identities.

Findings

Explicit 5-point stress tensor correlators derived

Consistency with Galilean conformal Ward identities confirmed

Provides a new check of flat space holography in 3D

Abstract

We calculate holographically arbitrary n-point correlators of the boundary stress tensor in three-dimensional Einstein gravity with negative or vanishing cosmological constant. We provide explicit expressions up to 5-point (connected) correlators and show consistency with the Galilean conformal field theory Ward identities and recursion relations of correlators, which we derive. This provides a novel check of flat space holography in three dimensions.