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.

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Cited by in corpus (8)

• Generalized Calabi-Yau manifolds and the chiral de Rham complex
• Chiral de Rham complex on Riemannian manifolds and special holonomy
• Quasiclassical Lian-Zuckerman Homotopy Algebras, Courant Algebroids and Gauge Theory
• Beta-gamma systems and the deformations of the BRST operator
• Superconformal structures on generalized Calabi-Yau metric manifolds
• Sheaves of N=2 supersymmetric vertex algebras on Poisson manifolds
• Generalized K$\ddot{a}$hler Geometry and current algebras in classical N=2 superconformal WZW model
• Generalized K$\ddot{a}$hler Geometry in Kazama-Suzuki coset models