Quantum N = 3, D = 3 Chern-Simons matter theories in harmonic superspace

I. L. Buchbinder, E. A. Ivanov, O. Lechtenfeld, N. G. Pletnev, I. B. Samsonov, B. M. Zupnik

    Research output: Contribution to journalArticlepeer-review

    26 Citations (Scopus)


    We develop the background field method for studying classical and quantum aspects of = 3, d = 3 Chern-Simons and matter theories in = 3 harmonic superspace. As one of the immediate consequences, we prove a nonrenormalization theorem implying the ultra-violet finiteness of the corresponding supergraph perturbation theory. We also derive the general hypermultiplet and gauge superfield propagators in a Chern-Simons background. The leading supergraphs with two and four external lines are evaluated. In contrast to the non-supersymmetric theory, the leading quantum correction to the massive charged hypermultiplet proves to be the super Yang-Mills action rather than the Chern-Simons one. The hypermultiplet mass is induced by a constant triplet of central charges in the = 3, d = 3 Poincaré superalgebra.

    Original languageEnglish
    Article number075
    JournalJournal of High Energy Physics
    Issue number10
    Publication statusPublished - 2009


    • Chern-Simons Theories
    • Extended Supersymmetry, Superspaces
    • Supersymmetric gauge theory

    ASJC Scopus subject areas

    • Nuclear and High Energy Physics

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