Lagrangian approach to sheaves of vertex algebras
  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. 
F.Malikov