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

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    26 Citations (Scopus)

    Abstract

    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
    Volume2009
    Issue number10
    DOIs
    Publication statusPublished - 2009

    Keywords

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

    ASJC Scopus subject areas

    • Nuclear and High Energy Physics

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    Buchbinder, I. L., Ivanov, E. A., Lechtenfeld, O., Pletnev, N. G., Samsonov, I. B., & Zupnik, B. M. (2009). Quantum N = 3, D = 3 Chern-Simons matter theories in harmonic superspace. Journal of High Energy Physics, 2009(10), [075]. https://doi.org/10.1088/1126-6708/2009/10/075