W-algebras extending gl (1ǀ1)

Thomas Creutzig*, David Ridout

*Corresponding author for this work

    Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review

    21 Citations (Scopus)

    Abstract

    We have recently shown that gl (1{pipe}1) admits an infinite family of simple current extensions. Here, we review these findings and add explicit free field realizations of the extended algebras. We use them for the computation of leading contributions of the operator product algebra. Amongst others, we find extensions that contain the Feigin-Semikhatov W(2)N algebra at levels k = N(3-N)/(N -2) and k = -N + 1 + N-1 as subalgebras.

    Original languageEnglish
    Title of host publicationLie Theory and Its Applications in Physics
    Subtitle of host publicationIX International Workshop
    PublisherSpringer New York LLC
    Pages349-367
    Number of pages19
    ISBN (Print)9784431542698, 9784431542698
    DOIs
    Publication statusPublished - 2013

    Publication series

    NameSpringer Proceedings in Mathematics and Statistics
    Volume36
    ISSN (Print)2194-1009
    ISSN (Electronic)2194-1017

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