A vertex algebra attached to the flag manifold and Lie algebra cohomology

Details A vertex algebra attached to the flag manifold and Lie algebra cohomology A vertex algebra attached to the flag manifold and Lie algebra cohomology

2009-11-04

arxiv.org/abs/0911.0922v2

Mathematics

Algebraic Geometry

a reference added

Scientific paper

Each flag manifold carries a unique algebra of chiral differential operators. Continuing along the lines of arXiv:0903.1281 we compute the vertex algebra structure on the cohomology of this algebra. The answer is: the tensor product of the center and a subalgebra; the center is isomorphic, as a commutative associative algebra, to the cohomology of the corresponding maximal nilpotent Lie algebra; the subalgebra is the vacuum module over the corresponding affine Lie algebra of critical level and 0 central character. We next find the Friedan-Martinec-Shenker-Borisov bosonization of the cohomology algebra in case of the projective line and show that this algebra vanishes nonperturbatively, thus verifying a suggestion by Witten.

Affiliated with

Also associated with

No associations

Rating

A vertex algebra attached to the flag manifold and Lie algebra cohomology does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with A vertex algebra attached to the flag manifold and Lie algebra cohomology, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A vertex algebra attached to the flag manifold and Lie algebra cohomology will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-417462