BRST Reduction of the chiral Hecke Algebra

We explore the relationship between de Rham and Lie algebra cohomologies in the finite dimensional and affine settings. In particular, given a ĝκmodule that arises as the global sections of a twisted D-module on the affine flag manifold, we show how to compute its BRST reduction modulo n(K) using the de Rham cohomology of the restrictions to N(K) orbits. A… CONTINUE READING