# Conformal Field Theory and Operator Algebras

## TL;DR

This paper reviews recent advances in the operator algebraic approach to conformal quantum field theory, emphasizing the role of representation theory in classification, based on collaborative work with R. Longo.

## Contribution

It highlights the application of operator algebras and representation theory to classify conformal quantum field theories, presenting recent progress in the field.

## Key findings

- Development of classification methods for conformal field theories
- Application of operator algebra techniques to quantum field theory
- Collaborative results with R. Longo on the subject

## Abstract

We review recent progress in operator algebraic approach to conformal quantum field theory. Our emphasis is on use of representation theory in classification theory. This is based on a series of joint works with R. Longo.