Module Categories of the Generic Virasoro VOA and Quantum Groups

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2025
• Main Author: Koshida, Shinji
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2025
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/213197
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Module Categories of the Generic Virasoro VOA and Quantum Groups. Shinji Koshida. SIGMA 21 (2025), 039, 26 pages

In this paper, we prove the equivalence between two ribbon tensor categories. On the one hand, we consider the category of modules of the Virasoro vertex operator algebra with generic central charge (generic Virasoro VOA) generated by those simple modules lying in the first row of the Kac table. On...