We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Parafermion vertex operator algebras.
- Authors
Dong, Chongying; Wang, Qing
- Abstract
This paper reviews some recent results on the parafermion vertex operator algebra associated to the integrable highest weight module L( k, 0) of positive integer level k for any affine Kac-Moody Lie algebra ĝ, where g is a finite dimensional simple Lie algebra. In particular, the generators and the C-cofiniteness of the parafermion vertex operator algebras are discussed. A proof of the well-known fact that the parafermion vertex operator algebra can be realized as the commutant of a lattice vertex operator algebra in L( k, 0) is also given.
- Subjects
VERTEX operator algebras; OPERATOR theory; FERMIONS; LIE algebras; MATHEMATICAL analysis
- Publication
Frontiers of Mathematics in China, 2011, Vol 6, Issue 4, p567
- ISSN
1673-3452
- Publication type
Article
- DOI
10.1007/s11464-011-0138-5