Classification of extremal vertex operator algebras with two simple modules

J. Connor Grady, Ching Hung Lam, James E. Tener*, Hiroshi Yamauchi

*Corresponding author for this work

    Research output: Contribution to journalArticlepeer-review

    5 Citations (Scopus)


    In recent work, Wang and Tener defined a class of "extremal"vertex operator algebras (VOAs), consisting of those with at least two simple modules and conformal dimensions as large as possible for the central charge. In this article, we show that there are exactly 15 character vectors of extremal VOAs with two simple modules. All but one of the 15 character vectors are realized by a previously known VOA. The last character vector is realized by a new VOA with central charge 33.

    Original languageEnglish
    Article number5121446
    JournalJournal of Mathematical Physics
    Issue number5
    Publication statusPublished - 1 May 2020


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