Non-linear Lie Conformal Algebras and One-Loop Corrections of self-dual Yang-Mills amplitudes

TL;DR

This paper explores the algebraic structures of celestial holography using non-linear Lie conformal algebras, aiming to understand one-loop corrections in self-dual Yang-Mills amplitudes.

Contribution

It reformulates celestial holography algebraic structures with non-linear Lie conformal algebras, connecting recent QCD and CFT developments.

Findings

Reformulation of celestial holography algebraic structures

Application to one-loop corrections in self-dual Yang-Mills

Enhanced understanding of operator product expansions in this context

Abstract

This work is motivated by recent developments in celestial holography. In \cite{CP}, the authors interpreted QCD collinear singularities in terms of operator product expansions in a two-dimensional CFT. We reformulate the algebraic structures arising in their work using the formalism of non-linear Lie conformal algebras developed in \cite{SK}.