Logarithmic doublets in CCFT

TL;DR

This paper explores the emergence of logarithmic conformal field theory structures in the soft sector of celestial CFT, revealing a pair of operators with specific conformal dimensions linked to supertranslations and IR regulation.

Contribution

It demonstrates the existence of logarithmic CFT doublets in celestial CFT's soft sector, connecting late-time gravitational behavior with IR-regulated supertranslation currents.

Findings

Logarithmic CFT doublets are present in celestial CFT's soft sector.

The associated operators have conformal dimension Δ=1.

Connection established between log CFT structures and IR-finite celestial OPEs.

Abstract

We investigate the presence of logarithmic CFT doublets in the soft sector of celestial CFT related with supertranslations. We show that the quantum operator associated with a $\log u$ late-time behavior for the asymptotic gravitational shear forms a logarithmic CFT pair of conformal dimension $\Delta=1$ with an IR-regulated supertranslation Goldstone current. We discuss this result in connection with previous encounters of log CFT structures in the IR-finite part of celestial OPEs.