Modular Forms and Second Order Ordinary Differential Equations: Applications to Vertex Operator Algebras

Masanobu Kaneko, Kiyokazu Nagatomo, Yuichi Sakai

Research output: Contribution to journalArticle

11 Citations (Scopus)

Abstract

We study the relation between the Kaneko-Zagier equation and the Mathur-Mukhi-Sen classification, and extend it to the case of solutions with logarithmic terms, which correspond to pseudo-characters of non-rational vertex operator algebras. As an application, we prove a non-existence theorem of rational vertex operator algebras.

Original languageEnglish
Pages (from-to)439-453
Number of pages15
JournalLetters in Mathematical Physics
Volume103
Issue number4
DOIs
Publication statusPublished - Jan 1 2013

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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