Conformal supergravity in three dimensions: New off-shell formulation

D. Butter, Sergei M Kuzenko, Joseph Novak, Gabriele Tartaglino-Mazzucchelli

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    59 Citations (Scopus)

    Abstract

    We propose a new off-shell formulation for N -extended conformal supergravity in three spacetime dimensions. Our construction is based on the gauging of the N -extended superconformal algebra in superspace. Covariant constraints are imposed such that the algebra of covariant derivatives is given in terms of a single curvature superfield which turns out to be the super Cotton tensor. An immediate corollary of this construction is that the curved superspace is conformally flat if and only if the super Cotton tensor vanishes. Upon degauging of certain local symmetries, our formulation is shown to reduce to the conventional one with the local structure group SL(2, R) × SO(N). © 2013 SISSA, Trieste, Italy.
    Original languageEnglish
    Pages (from-to)40pp
    JournalThe Journal of High Energy Physics
    Volume2013
    Issue number9
    DOIs
    Publication statusPublished - 2013

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