The structure of parafermion vertex operator algebras
Chongying Dong, Ching Hung lam, Qing Wang, Hiromichi Yamada
TL;DR
This paper proves that the parafermion vertex operator algebra linked to a specific affine Kac-Moody algebra is equivalent to a W-algebra and identifies its generators, advancing understanding of its structure.
Contribution
It establishes the equivalence between the parafermion VOA and a W-algebra for the A_1^{(1)} case and determines a generating set for the VOA.
Findings
Parafermion VOA coincides with a certain W-algebra.
A set of generators for the VOA is explicitly determined.
The structural relationship enhances understanding of affine algebra representations.
Abstract
It is proved that the parafermion vertex operator algebra associated to the irreducible highest weight module for the affine Kac-Moody algebra A_1^{(1)} of level k coincides with a certain W-algebra. In particular, a set of generators for the parafermion vertex operator algebra is determined.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.