2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/196370We 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 $σ$-model. We conclude by showing how to construct a family of vertex algebras with base the Barannikov-Kontsevich moduli space.Algebraic GeometryHigh Energy Physics - TheoryQuantum Algebratext