Linking vertex algebras and Wightman QFT

Abstract

Conformal field theory (CFT) has been an active area of mathematical and physical research for the last 30 years. Several different axiomatic approaches have been developed to describe CFT, each with its own strengths and weaknesses. It is then natural to ask, under which assumptions are these different approaches equivalent?

In this talk, I will discuss some recent results linking the algebraic approach to CFT given by vertex algebras with the approach to axiomatic quantum field theory given by Wightman.

Based on joint work with James Tener and Yoh Tanimoto.