Affine Vertex Operator Algebras and Modular Linear Differential Equations

Yusuke Arike, Masanobu Kaneko, Kiyokazu Nagatomo, Yuichi Sakai

Research output: Contribution to journalArticle

7 Citations (Scopus)


In this paper, we list all affine vertex operator algebras of positive integral levels whose dimensions of spaces of characters are at most 5 and show that a basis of the space of characters of each affine vertex operator algebra in the list gives a fundamental system of solutions of a modular linear differential equation. Further, we determine the dimensions of the spaces of characters of affine vertex operator algebras whose numbers of inequivalent simple modules are not exceeding 20.

Original languageEnglish
Pages (from-to)693-718
Number of pages26
JournalLetters in Mathematical Physics
Issue number5
Publication statusPublished - May 1 2016


All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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