A Vertex Algebra Attached to the Flag Manifoldand Lie Algebra Cohomology

摘要

We compute the cohomology vertex algebra H*(G/B,D_(G/B)~(ch))to the effect that it is iso-morphic to H* (n, C) V(g)x=0. We then find the Friedan-Martinec-Shenker-Borisov bosonizationof H* (P1 D_P~1~(ch))and verify that the latter algebra vanishes nonperturbatively.