Superconformal structures on the three-sphere

Sergei M Kuzenko, D.P. Sorokin

    Research output: Contribution to journalArticle

    7 Citations (Scopus)

    Abstract

    © The Authors. With the motivation to develop superconformal field theory on S3, we introduce a 2n-extended supersphere S3|4n, with n = 1, 2, …, as a homogeneous space of the three-dimensional Euclidean superconformal group OSp(2n|2, 2) such that its bosonic body is S3. Supertwistor and bi-supertwistor realizations of S3|4n are derived. We study in detail the n = 1 case, which is unique in the sense that the R-symmetry subgroup SO*(2n) of the superconformal group is compact only for n = 1. In particular, we show that the OSp(2|2, 2) transformations preserve the chiral subspace of S3|4. Several supercoset realizations of S3|4n are presented. Harmonic/projective extensions of the supersphere by auxiliary bosonic fibre directions are sketched.
    Original languageEnglish
    Article number080
    Pages (from-to)1-38
    Number of pages38
    JournalJournal of High Energy Physics
    Volume2014
    Issue number10
    DOIs
    Publication statusPublished - 14 Oct 2014

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