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Lagrangian Approach to Sheaves of Vertex Algebras
Authors:Fyodor Malikov
Affiliation:(1) Department of Mathematics, University of Southern California, Los Angeles, CA 90089, USA
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 thus furnishing the B-model moduli for Witten’s half-twisted model. Partially supported by the National Science Foundation.
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