Lagrangian Approach to Sheaves of Vertex Algebras
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.
- Publication:
-
Communications in Mathematical Physics
- Pub Date:
- March 2008
- DOI:
- 10.1007/s00220-007-0403-3
- arXiv:
- arXiv:math/0604093
- Bibcode:
- 2008CMaPh.278..487M
- Keywords:
-
- Lagrangian Approach;
- Elliptic Genus;
- Vertex Algebra;
- Frobenius Manifold;
- Evolutionary Vector;
- Mathematics - Algebraic Geometry;
- Mathematics - Quantum Algebra;
- High Energy Physics - Theory