Implications of(formula presented.) superconformal symmetry in three spacetime dimensions

Evgeny I. Buchbinder, Sergei M. Kuzenko, Igor B. Samsonov

    Research output: Contribution to journalArticle

    9 Citations (Scopus)

    Abstract

    Abstract: We study implications of N=4$$ \mathcal{N}=4 $$ superconformal symmetry in three dimensions, thus extending our earlier results in [1] devoted to the N≤3$$ \mathcal{N}\le 3 $$ cases. We show that the three-point function of the supercurrent in N=4$$ \mathcal{N}=4 $$ superconformal field theories contains two linearly independent forms. However, only one of these structures contributes to the three-point function of the energy-momentum tensor and the other one is present in those N=4$$ \mathcal{N}=4 $$ superconformal theories which are not invariant under the mirror map. We point out that general N=4$$ \mathcal{N}=4 $$ superconformal field theories admit two inequivalent flavour current multiplets and show that the three-point function of each of them is determined by one tensor structure. As an example, we compute the two- and three-point functions of the conserved currents in N=4$$ \mathcal{N}=4 $$ superconformal models of free hypermultiplets. We also derive the universal relations between the coefficients appearing in the two- and threepoint correlators of the supercurrent and flavour current multiplets in all superconformal theories with N≤4$$ \mathcal{N}\le 4 $$ supersymmetry. Our derivation is based on the use of Ward identities in conjunction with superspace reduction techniques.

    Original languageEnglish
    Article number125
    JournalJournal of High Energy Physics
    Volume2015
    Issue number8
    DOIs
    Publication statusPublished - 31 Aug 2015

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    symmetry
    fine structure
    tensors
    correlators
    supersymmetry
    derivation
    kinetic energy
    mirrors
    coefficients

    Keywords

    • Extended Supersymmetry
    • Superspaces

    ASJC Scopus subject areas

    • Nuclear and High Energy Physics

    Cite this

    Implications of(formula presented.) superconformal symmetry in three spacetime dimensions. / Buchbinder, Evgeny I.; Kuzenko, Sergei M.; Samsonov, Igor B.

    In: Journal of High Energy Physics, Vol. 2015, No. 8, 125, 31.08.2015.

    Research output: Contribution to journalArticle

    Buchbinder, Evgeny I. ; Kuzenko, Sergei M. ; Samsonov, Igor B. / Implications of(formula presented.) superconformal symmetry in three spacetime dimensions. In: Journal of High Energy Physics. 2015 ; Vol. 2015, No. 8.
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