Stress Tensor Correlators of CCFT$_2$ using Flat-Space Holography

TL;DR

This paper derives stress tensor correlators in two-dimensional CCFTs using flat-space holography, employing a metric-based approach that extends to higher dimensions where Chern-Simons formulations are unavailable.

Contribution

It introduces a metric formulation method for computing CCFT stress tensor correlators, applicable to higher-dimensional flat-space holography.

Findings

Derived explicit stress tensor correlators for CCFT$_2$

Demonstrated the method's applicability to four-dimensional cases

Provided a new approach avoiding Chern-Simons formulation

Abstract

We use the correspondence between three-dimensional asymptotically flat spacetimes and two-dimensional contracted conformal field theories (CCFTs) to derive the stress tensor correlators of CCFT$_2$. On the gravity side we use the metric formulation instead of the Chern-Simons formulation of three-dimensional gravity. This method can also be used for four-dimensional case where there is no Chern-Simons formulation for the bulk theory.