Affine Vertex Operator Algebras and Modular Linear Differential Equations

Yusuke Arike, Masanobu Kaneko, Kiyokazu Nagatomo, Yuichi Sakai

研究成果: Contribution to journalArticle査読

14 被引用数 (Scopus)

抄録

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.

本文言語英語
ページ(範囲)693-718
ページ数26
ジャーナルLetters in Mathematical Physics
106
5
DOI
出版ステータス出版済み - 5 1 2016

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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