Lagrangian approach to sheaves of vertex algebras

Details Lagrangian approach to sheaves of vertex algebras Lagrangian approach to sheaves of vertex algebras

2006-04-05

arxiv.org/abs/math/0604093v1

Commun.Math.Phys.278:487-548,2008

Mathematics

Algebraic Geometry

Scientific paper

10.1007/s00220-007-0403-3

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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