A class of vertex operator algebras generated by Virasoro vectors
Fuente:
arXiv
Enregistré dans:
| Auteur principal: | |
|---|---|
| Format: | Preprint |
| Publié: |
2025
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866915544644452352 |
|---|---|
| author | Feng, Runkang |
| author_facet | Feng, Runkang |
| contents | In this paper, we study a class of simple OZ-type vertex operator algebras $V$ generated by simple Virasoro vectors $ω^{ij}=ω^{ji}$, $1\leq i<j\leq n$, $n\geq 3$. We prove that $V$ is uniquely determined by its Griess algebra $V_2$. The automorphism group of $V$ is also determined. Furthermore, we give the necessary conditions for $V$ to be unitary. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_09397 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A class of vertex operator algebras generated by Virasoro vectors Feng, Runkang Quantum Algebra In this paper, we study a class of simple OZ-type vertex operator algebras $V$ generated by simple Virasoro vectors $ω^{ij}=ω^{ji}$, $1\leq i<j\leq n$, $n\geq 3$. We prove that $V$ is uniquely determined by its Griess algebra $V_2$. The automorphism group of $V$ is also determined. Furthermore, we give the necessary conditions for $V$ to be unitary. |
| title | A class of vertex operator algebras generated by Virasoro vectors |
| topic | Quantum Algebra |
| url | https://arxiv.org/abs/2510.09397 |