arXiv Open Access 2022

Rationality of vertex operator superalgebras with rational conformal weights

Xingjun Lin

Lihat Sumber

Abstrak

For the affine vertex algebra $V_k(\mathfrak{g})$ at an admissible level $k$ of $\hat{\mathfrak{g}}$, we prove that certain subcategory of weak $V_k(\mathfrak{g})$-module category is semisimple. As a consequence, we show that $V_k(\mathfrak{g})$ is rational with respect to a family of Virasoro elements. We also prove that certain affine vertex operator superalgebras and minimal $W$-algebras are rational with respect to a family of Virasoro elements.

Topik & Kata Kunci

math.QA

Penulis (1)

Xingjun Lin

Format Sitasi

APA MLA BibTeX

Lin, X. (2022). Rationality of vertex operator superalgebras with rational conformal weights. https://arxiv.org/abs/2212.09934

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2022
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓