Semi-infinite cohomology and superconformal algebras
Abstract
Description
We describe representations of certain superconformal algebras in the semi-infinite Weil complex related to the loop algebra of a complex finite-dimensional Lie algebra and in the semi-infinite cohomology. We show that in the case where the Lie algebra is endowed with a non-degenerate invariant symmetric bilinear form, the relative semi-infinite cohomology of the loop algebra has a structure, which is analogous to the classical structure of the de Rham cohomology in Kähler geometry.
23 pages, TeX. To be published in Annales de l'Institut Fourier
23 pages, TeX. To be published in Annales de l'Institut Fourier