Uniqueness of VOA structure of 3C-algebra and 5A-algebra

Abstract

The structure of 3C-algebra and 5A-algebra constructed by Lam-Yamada-Yamauchi is studied and the uniqueness of the vertex operator algebra structure of these two algebras is established. We also give the fusion rules for these two algebras.

Corrected typos in the statement of theorem 3.7 and 4.6. arXiv admin note: text overlap with arXiv:1902.06951

Cited by in corpus (1)

• Sigma involutions associated with parafermion vertex operator algebra $K({\mathfrak{sl}}_2,k)$