N = 3 superparticle model

I. L. Buchbinder, I. B. Samsonov

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    Abstract

    We consider the formulation and quantization of the N = 3 superparticle model, both with and without central charge. Without the central charge the action possesses U (3) invariance and therefore is naturally quantized in the N = 3 harmonic superspace. The quantization reproduces the N = 3 supergauge strength multiplets, described by analytic N = 3 superfields and a gravitino multiplet as a constrained N = 3 chiral superfield. When the central charge is present, it breaks the U (3) R-symmetry of N = 3 superalgebra down to SU (2) × U (1), and the corresponding superparticle model is formulated in the N = 2 harmonic superspace extended by a pair of extra Grassmann variables. The quantization of such a model leads to the massive BPS N = 3 vector multiplet. It is shown that upon additional superfield constraints such multiplet reduces to the massive N = 2 vector multiplet.

    Original languageEnglish
    Pages (from-to)180-207
    Number of pages28
    JournalNuclear Physics B
    Volume802
    Issue number1-2
    DOIs
    Publication statusPublished - 11 Oct 2008

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    ASJC Scopus subject areas

    • Nuclear and High Energy Physics

    Cite this

    Buchbinder, I. L., & Samsonov, I. B. (2008). N = 3 superparticle model. Nuclear Physics B, 802(1-2), 180-207. https://doi.org/10.1016/j.nuclphysb.2008.05.014