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Modules for a sheaf of Lie algebras on loop manifolds

Authors
  • Billig, Yuly
Type
Preprint
Publication Date
Sep 09, 2011
Submission Date
Sep 09, 2011
Identifiers
arXiv ID: 1109.2172
Source
arXiv
License
Yellow
External links

Abstract

We consider a central extension of the sheaf of Lie algebras of maps from a manifold into a finite-dimensional simple Lie algebra, together with the sheaf of vector fields. Using vertex algebra methods we construct sheaves of modules for this sheaf of Lie algebras. Our results extend the work of Malikov-Schechtman-Vaintrob on the chiral de Rham complex.

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