Two loop Kahler potential in beta-deformed N=4 SYM theory

Simon Tyler

    Research output: Contribution to journalArticle

    Abstract

    In N = 2 superconformal field theories the Kahler potential is known to be tree level exact. The beta-deformation of N = 4 SU(N) SYM reduces the amount of supersymmetry to N = 1, allowing for non-trivial, superconformal loop corrections to the Kahler potential. We analyse the two-loop corrections on the Coulomb branch for a complex deformation. For an arbitrary chiral field in the Cartan subalgebra we reduce the problem of computing the two-loop Kahler potential to that of diagonalising the mass matrix, we then present the result in a manifestly superconformal form. The mass matrix diagonalisation is performed for the case of the chiral background that induces the breaking pattern SU(N) --> SU(N-2) x U(1)(2). Then, for the gauge group SU(3), the Kahler potential is explicitly computed to the two-loop order.
    Original languageEnglish
    Pages (from-to)-
    JournalJournal of High Energy Physics
    Volume7
    DOIs
    Publication statusPublished - 2008

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