Modules for a sheaf of Lie algebras on loop manifolds

Details Modules for a sheaf of Lie algebras on loop manifolds Modules for a sheaf of Lie algebras on loop manifolds

2011-09-09

arxiv.org/abs/1109.2172v1

Mathematics

Representation Theory

Scientific paper

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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