Lagrangian approach to sheaves of vertex algebras

Abstract

We explain how sheaves of vertex algebras are related to mathematical structures encoded by a class of Lagrangians. The exposition is focused on two examples: the WZW model and the (1,1)-supersymmetric $\sigma$-model. We conclude by showing how to construct a family of vertex algebras with base the Barannikov-Kontsevich moduli space.

References in corpus (1)

• Supersymmetric vertex algebras

Cited by in corpus (2)

• Beta-gamma systems and the deformations of the BRST operator
• Superconformal structures on generalized Calabi-Yau metric manifolds