Character Vectors of Strongly Regular Vertex Operator Algebras

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2022
• Main Authors: Franc, Cameron, Mason, Geoffrey
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2022
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/211819
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Character Vectors of Strongly Regular Vertex Operator Algebras. Cameron Franc and Geoffrey Mason. SIGMA 18 (2022), 085, 49 pages

We summarize interactions between vertex operator algebras and number theory through the lens of Zhu theory. The paper begins by recalling basic facts on vertex operator algebras (VOAs) and modular forms, and then explains Zhu's theorem on characters of VOAs in a slightly new form. We then axio...