BRST-resolution for Principally Graded Wakimoto module of ŝl2

Rigid Resolution of a Finitely Generated Module Over a Regular Local Ring

91 12 02 6 v 1 1 1 D ec 1 99 1 Topological Kac - Moody Algebra and Wakimoto Representation

It is shown, using the Wakimoto representation, that the level zero SU(2) Kac-Moody conformal field theory is topological and can be obtained by twisting an N=2 superconformal theory. Expressions for the associated N=2 superconformal generators are written down and the Kac-Moody generators are shown to be BRST exact .

Semi-infinite Induction and Wakimoto Modules

The purpose of this paper is to suggest the construction and study properties of semi-infinite induction, which relates to semi-infinite cohomology the same way induction relates to homology and coinduction to cohomology. We prove a version of the Shapiro Lemma, showing that the semi-infinite cohomology of a module is isomorphic to that of the semi-infinitely induced module. A practical outcome...

BRST Cohomology in Quantum Affine Algebra Uq(ŝl2)

Using free field representation of quantum affine algebra Uq(ŝl2), we investigate the structure of the Fock modules over Uq(ŝl2). The analisys is based on a q-analog of the BRST formalism given by Bernard and Felder in the affine Kac-Moody algebra ŝl2. We give an explicit construction of the singular vectors using the BRST charge. By the same cohomology analysis as the classical case (q = 1), w...

Results on Generalization of Burch’s Inequality and the Depth of Rees Algebra and Associated Graded Rings of an Ideal with Respect to a Cohen-Macaulay Module

Let  be a local Cohen-Macaulay ring with infinite residue field,  an Cohen - Macaulay module and  an ideal of  Consider  and , respectively, the Rees Algebra and associated graded ring of , and denote by  the analytic spread of  Burch’s inequality says that  and equality holds if  is Cohen-Macaulay. Thus, in that case one can compute the depth of associated graded ring of  as  In this paper we ...