Minimal generating subspaces of ''weak PBW type'' for vertex operator algebras are studied and a procedure is developed for finding such subspaces. As applications, some results on generalized modules are obtained for vertex operator algebras that satisfy a certain condition, and a minimal generatin
Generalized Vertex Algebras Generated by Parafermion-Like Vertex Operators
โ Scribed by Yongcun Gao; Haisheng Li
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 231 KB
- Volume
- 240
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
โฆ Synopsis
It is proved that for any vector space W, any set of parafermion-like vertex operators on W in a certain canonical way generates a generalized vertex algebra in the sense of Dong and Lepowsky with W as a natural module. As an application, generalized vertex algebras are constructed from the LepowskyแWilson Z-algebras of any nonzero level.
๐ SIMILAR VOLUMES
A family of vertex operators that generalizes those given by Jing for the Hall Littlewood symmetric functions is presented. These operators produce symmetric functions related to the Poincare polynomials referred to as generalized Kostka polynomials in the same way that Jing's operator produces symm
We prove the existence and the regularity of the extension by a self-dual simple current for certain regular vertex operator algebras.
## Abstract A logarithmic residue is a contour integral of the (left or right) logarithmic derivative of an analytic Banach algebra valued function. Logarithmic residues are intimately related to sums of idempotents. The present paper is concerned with logarithmic residues in a specific Banach alge