This talk deals with a deformation of a two dimensional conformal field

theory.

We introduce a notion of a full vertex algebra, which is a mathematical formulation of a compact two dimensional conformal field theory on $R^2$. We also give examples of full vertex algebras and discuss the relation between vertex algebras and full vertex algebras. Then, we construct a

deformation of a full vertex algebra, which serves as a current-current deformation of the conformal field theory in physics.

As an application, we consider the deformation of a tensor product of a vertex algebra and

some full vertex algebra. Such deformation may produce new vertex algebras. We give a formula which counts a weighted sum of the number of vertex algebras appearing in the deformation.

Warning: This seminar is run by zoom. The zoom address is

https://kyoto-u-edu.zoom.us/j/88149004391

Meeting ID: 881 4900 4391

Passcode is the order of the Mathieu group $M_{22}$.