On C_2cofiniteness of parafermion vertex operator algebras
Abstract
It is proved that the regularity of parafermion vertex operator algebras associated to integrable highest weight modules for affine KacMoody algebra A_1^{(1)} implies the C_2cofiniteness of parafermion vertex operator algebras associated to integrable highest weight modules for any affine KacMoody algebra. In particular, the parafermion vertex operator algebra associated to an integrable highest weight module of small level for any affine KacMoody algebra is C_2cofinite and has only finitely many irreducible modules. Also, the parafermion vertex operator algebras with level 1 are determined explicitly.
 Publication:

arXiv eprints
 Pub Date:
 May 2010
 arXiv:
 arXiv:1005.1709
 Bibcode:
 2010arXiv1005.1709D
 Keywords:

 Mathematics  Quantum Algebra
 EPrint:
 13 pages