English

Lagrangian approach to sheaves of vertex algebras

Algebraic Geometry 2008-11-26 v1 High Energy Physics - Theory Quantum Algebra

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\sigma-model. We conclude by showing how to construct a family of vertex algebras with base the Barannikov-Kontsevich moduli space.

Keywords

Cite

@article{arxiv.math/0604093,
  title  = {Lagrangian approach to sheaves of vertex algebras},
  author = {F. Malikov},
  journal= {arXiv preprint arXiv:math/0604093},
  year   = {2008}
}