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Lagrangian approach to sheaves of vertex algebras

F. Malikov
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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 $σ$-model. We conclude by showing how to construct a family of vertex algebras with base the Barannikov-Kontsevich moduli space.

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F. Malikov. 2006-04-05. Lagrangian approach to sheaves of vertex algebras. https://doi.org/10.1007/s00220-007-0403-3

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