Classical and quantum conformal field theories
arXiv:1402.2943
Abstract
Following the formuation of Borcherds, we develop the theory of (quantum) vertex algebras, including several concrete examples. We also investigate the relationship between the vertex algebra and the chiral algebra due to Beilinson and Drinfeld.
Based on the talk at the conference 2013 RIMS SYMPOSIUM "String Theory, Integrable Systems and Representation theory"