Four-point correlators of light-ray operators in CCFT

TL;DR

This paper calculates a specific four-point correlator of gluon light-ray operators in celestial conformal field theory, confirming their role in operator product expansions and analyzing conformal block structures.

Contribution

It provides the first explicit computation of four-point correlators involving gluon light-ray operators in celestial CFT, verifying their appearance in OPEs and performing conformal block decomposition.

Findings

Correlator is non-distributional and explicitly computed.

Light-ray operators appear in the OPE of gluon primaries.

Conformal block decomposition of gluon exchange terms performed.

Abstract

We compute the four-point correlator of two gluon light-ray operators and two gluon primaries from the four-gluon celestial amplitude in $(2,2)$ signature spacetime. The correlator is non-distributional and allows us to verify that light-ray operators appear in the OPE of two gluon primaries. We also carry out a conformal block decomposition of the terms involving the exchange of gluon operators.