Higher spins in hyper-superspace

Ioannis Florakis, Dmitri Sorokin, Mirian TSULAIA

    Research output: Contribution to journalArticle

    14 Citations (Scopus)

    Abstract

    We extend the results of arXiv:1401.1645 on the generalized conformal Sp(2.n)-structure of infinite multiplets of higher-spin fields, formulated in spaces with extra tensorial directions (hyperspaces), to the description of OSp(1|2.n)-invariant infinite-dimensional higher-spin supermultiplets formulated in terms of scalar superfields on flat hyper-superspaces and on OSp(1|.n) supergroup manifolds. We find generalized superconformal transformations relating the superfields and their equations of motion in flat hyper-superspace with those on the OSp(1|.n) supermanifold. We then use these transformations to relate the two-, three- and four-point correlation functions of the scalar superfields on flat hyperspace, derived by requiring the OSp(1|2.n) invariance of the correlators, to correlation functions on the OSp(1|. n) group manifold. As a byproduct, for the simplest particular case of a conventional N=1, D=.3 superconformal theory of scalar superfields, we also derive correlation functions of component fields of the scalar supermultiplet including those of auxiliary fields.
    Original languageEnglish
    Pages (from-to)279-301
    Number of pages23
    JournalNuclear Physics B
    Volume890
    DOIs
    Publication statusPublished - 2015

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    hyperspaces
    scalars
    correlators
    invariance
    equations of motion
    fine structure

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    Florakis, I., Sorokin, D., & TSULAIA, M. (2015). Higher spins in hyper-superspace. Nuclear Physics B, 890, 279-301. https://doi.org/10.1016/j.nuclphysb.2014.11.017
    Florakis, Ioannis ; Sorokin, Dmitri ; TSULAIA, Mirian. / Higher spins in hyper-superspace. In: Nuclear Physics B. 2015 ; Vol. 890. pp. 279-301.
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    Florakis, I, Sorokin, D & TSULAIA, M 2015, 'Higher spins in hyper-superspace', Nuclear Physics B, vol. 890, pp. 279-301. https://doi.org/10.1016/j.nuclphysb.2014.11.017

    Higher spins in hyper-superspace. / Florakis, Ioannis; Sorokin, Dmitri; TSULAIA, Mirian.

    In: Nuclear Physics B, Vol. 890, 2015, p. 279-301.

    Research output: Contribution to journalArticle

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    AB - We extend the results of arXiv:1401.1645 on the generalized conformal Sp(2.n)-structure of infinite multiplets of higher-spin fields, formulated in spaces with extra tensorial directions (hyperspaces), to the description of OSp(1|2.n)-invariant infinite-dimensional higher-spin supermultiplets formulated in terms of scalar superfields on flat hyper-superspaces and on OSp(1|.n) supergroup manifolds. We find generalized superconformal transformations relating the superfields and their equations of motion in flat hyper-superspace with those on the OSp(1|.n) supermanifold. We then use these transformations to relate the two-, three- and four-point correlation functions of the scalar superfields on flat hyperspace, derived by requiring the OSp(1|2.n) invariance of the correlators, to correlation functions on the OSp(1|. n) group manifold. As a byproduct, for the simplest particular case of a conventional N=1, D=.3 superconformal theory of scalar superfields, we also derive correlation functions of component fields of the scalar supermultiplet including those of auxiliary fields.

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