Speaker

森脇湧登 (東京大学大学院数理科学研究科)

Date

October 5, 15:45-16:35

Title

Current-current deformation of two dimensional conformal field theory

Abstract

Deformations of a conformal field theory are important to construct new theories in physics.

We introduce a notion of a full vertex algebra, which is a (real analytic) generalization of a (holomorphic) vertex algebra and a mathematical formulation of a (compact) two dimensional conformal field theory. We construct a current-current deformation of a conformal field theory in terms of full vertex algebras. Isomorphism classes of the deformation are parameterized by a coset of a Grassmannian.