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