Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1994-05-04
Int.J.Mod.Phys. A10 (1995) 977-1004
Physics
High Energy Physics
High Energy Physics - Theory
26 pages (Plain TeX), BONN-TH-94-04
Scientific paper
We construct free field representations of the $SW$-algebras SW(3/2,2) and SW(3/2,3/2,2) by using the corresponding Toda-Field-Theories. In constructing the series of minimal models using covariant vertex operators, we find a necessary restriction on the Cartan matrix of the Super-Lie-Algebra, also for the general case. Within this framework, this restriction claims that there be a minimum of one non-vanishing element on the diagonal of the Cartan matrix, which is without parallel in bosonic conformal field theory. As a consequence only two series of SSLA's yield minimal models, namely Osp(2n|2n-1) and Osp(2n|2n+1). Subsequently some general aspects of degenerate representations of SW-algebras, notably the fusion rules, are investigated. As an application we discuss minimal models of SW(3/2,2), which were constructed with independent methods, in this framework. Covariant formulation is used throughout this paper.
No associations
LandOfFree
On SW-minimal models and N=1 supersymmetric Quantum Toda-field theories 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 On SW-minimal models and N=1 supersymmetric Quantum Toda-field theories, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On SW-minimal models and N=1 supersymmetric Quantum Toda-field theories will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-389394