A chiral Borel-Weil-Bott theorem

Details A chiral Borel-Weil-Bott theorem A chiral Borel-Weil-Bott theorem

2009-03-06

arxiv.org/abs/0903.1281v3

Mathematics

Algebraic Geometry

Some considerable reworking. A final version to appear in Adv. in Math

Scientific paper

We compute the cohomology of modules over the algebra of twisted chiral differential operators over the flag manifold. This is applied to (1) finding the character of $G$-integrable irreducible highest weight modules over the affine Lie algebra at the critical level, and (2) computing a certain elliptic genus of the flag manifold. The main tool is a result that interprets the Drinfeld-Sokolov reduction as a derived functor.

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