# Conformal Field Theory in D>2 dimensions, representations and harmonic analysis

## TL;DR

This paper discusses the development of conformal field theory in dimensions greater than two, focusing on representations and harmonic analysis, highlighting key theoretical advances since 1968.

## Contribution

It provides an overview of the progress in conformal field theory, emphasizing the role of harmonic analysis and representation theory in higher dimensions.

## Key findings

- Advances in conformal representation theory since 1968
- Development of harmonic analysis techniques in D>2
- Enhanced understanding of conformal symmetry structures

## Abstract

Talk presented at the conference on representation theory and harmonic analysis at Saclay, the talk presented the development in conformal field theory since 1968