Characterizing Moonshine Functions by Vertex-Operator-Algebraic Conditions

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2018
• Main Authors: Carnahan, S., Komuro, T., Urano, S.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2018
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/209843
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Characterizing Moonshine Functions by Vertex-Operator-Algebraic Conditions / S. Carnahan, T. Komuro, S. Urano // Symmetry, Integrability and Geometry: Methods and Applications. — 2018. — Т. 14. — Бібліогр.: 19 назв. — англ.

Given a holomorphic C₂-cofinite vertex operator algebra V with graded dimension j−744, Borcherds's proof of the monstrous moonshine conjecture implies any finite order automorphism of V has graded trace given by a "completely replicable function", and by work of Cummins and Gannon, th...