EPFL Lectures on Conformal Field Theory in D>= 3 Dimensions

TL;DR

This paper provides an educational overview of conformal field theory in three or more dimensions, covering foundational concepts, kinematics, radial quantization, the operator product expansion, and an introduction to the conformal bootstrap.

Contribution

It offers a comprehensive lecture-based introduction to conformal field theory in higher dimensions, emphasizing physical foundations and key techniques.

Findings

Clarifies the physical basis of conformal symmetry

Explains conformal kinematics and radial quantization

Introduces the conformal bootstrap approach

Abstract

This is a writeup of lectures given at the EPFL Lausanne in the fall of 2012. The topics covered: physical foundations of conformal symmetry, conformal kinematics, radial quantization and the OPE, and a very basic introduction to conformal bootstrap.