Formal distribution algebras and conformal algebras

TL;DR

This paper reviews recent developments in the theory of conformal algebras, which provide an axiomatic framework for the operator product expansion of chiral fields in conformal field theory.

Contribution

It offers a comprehensive overview of formal distribution algebras and their role in understanding conformal algebras in theoretical physics.

Findings

Clarified the axiomatic structure of conformal algebras

Connected conformal algebras with operator product expansions

Summarized recent advances in the field

Abstract

Conformal algebra is an axiomatic description of the operator product expansion (or rather its Fourier transform) of chiral fields in a conformal field theory. This is a review of recent developments in the subject.