111,129 research outputs found

    Ultra-violet Finiteness in Noncommutative Supersymmetric Theories

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    We consider the ultra-violet divergence structure of general noncommutative supersymmetric U(Nc)U(N_c) gauge theories, and seek theories which are all-orders finite.Comment: 11 pages, Tex, one figure. Uses harvmac (big) and eps

    Fayet-Iliopoulos D-terms and anomaly mediated supersymmetry breaking

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    We show that in a minimal extension of the MSSM by means of an extra U(1) gauge group, the negative mass-squared problem characteristic of the Anomaly Mediated Supersymmetry Breaking scenario is naturally solved by means of Fayet-Iliopoulos D-terms. We derive a set of sum rules for the sparticle masses which are consequences of the resulting framework.Comment: 11 pages, including 1 figure. Plain TeX. Uses Harvmac and epsf. Final version to appear in Phys. Lett. B; some minor improvement

    The Exact Tachyon Beta-Function for the Wess-Zumino-Witten Model

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    We derive an exact expression for the tachyon β\beta-function for the Wess-Zumino-Witten model. We check our result up to three loops by calculating the three-loop tachyon β\beta-function for a general non-linear σ\sigma-model with torsion, and then specialising to the case of the WZW model.Comment: 13pp, uses harvmac (with figures appended as a a standard PostScript file), LTH 31

    Quasi-infra-red fixed points and renormalisation group invariant trajectories for non-holomorphic soft supersymmetry breaking

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    In the MSSM the quasi-infra-red fixed point for the top-quark Yukawa coupling gives rise to specific predictions for the soft-breaking parameters. We discuss the extent to which these predictions are modified by the introduction of additional ``non-holomorphic'' soft-breaking terms. We also show that in a specific class of theories there exists an RG-invariant trajectory for the ``non-holomorphic'' terms, which can be understood using a holomorphic spurion term.Comment: 24 pages, TeX, two figures. Uses Harvmac (big) and epsf. Minor errors corrected, and the RG trajectory explained in terms of a holomorphic spurion ter

    The Gaugino \beta-Function

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    We present an elegant exact formula for the gaugino β\beta-function in a softly-broken supersymmetric gauge theory, of the form βM=O(βg/g)\beta_M = {\cal O}(\beta_g/g), where βg\beta_g is the gauge β\beta function and O{\cal O} is a simple differential operator acting on the gauge coupling gg and the Yukawa coupling.Comment: 11 pages, tex, no figures. Uses harvmac. Minor error in derivation of Eq. (14) correcte

    Six-loop divergences in the supersymmetric Kahler sigma model

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    The two-dimensional supersymmetric \s-model on a K\"ahler manifold has a non-vanishing \b-function at four loops, but the \b-function at five loops can be made to vanish by a specific choice of renormalisation scheme. We investigate whether this phenomenon persists at six loops, and conclude that it does not; there is a non-vanishing six-loop \b-function irrespective of renormalisation scheme ambiguities.Comment: 13pp, uses phyzzx, LTH 287 (published in Int. J. Mod. Phys. A
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