Vector-multiplet effective action in the non-anticommutative charged hypermultiplet model

I. L. Buchbinder, O. Lechtenfeld, I. B. Samsonov

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    Abstract

    We investigate the quantum aspects of a charged hypermultiplet in deformed N = (1, 1) superspace with singlet non-anticommutative deformation of supersymmetry. This model is a "star" modification of the hypermultiplet interacting with a background Abelian vector superfield. We prove that this model is renormalizable in the sense that the divergent part of the effective action is proportional to the N = (1, 0) non-anticommutative super-Yang-Mills action. We also calculate the finite part of the low-energy effective action depending on the vector multiplet, which corresponds to the (anti)holomorphic potential. The holomorphic piece is just deformed to the star-generalization of the standard holomorphic potential, while the antiholomorphic piece is not. We also reveal the component structure and find the deformation of the mass and the central charge.

    Original languageEnglish
    Pages (from-to)185-203
    Number of pages19
    JournalNuclear Physics B
    Volume758
    Issue number1-2
    DOIs
    Publication statusPublished - 4 Dec 2006

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    • Nuclear and High Energy Physics

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    Vector-multiplet effective action in the non-anticommutative charged hypermultiplet model. / Buchbinder, I. L.; Lechtenfeld, O.; Samsonov, I. B.

    In: Nuclear Physics B, Vol. 758, No. 1-2, 04.12.2006, p. 185-203.

    Research output: Contribution to journalArticle

    Buchbinder, I. L. ; Lechtenfeld, O. ; Samsonov, I. B. / Vector-multiplet effective action in the non-anticommutative charged hypermultiplet model. In: Nuclear Physics B. 2006 ; Vol. 758, No. 1-2. pp. 185-203.
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