5,977 research outputs found

    Supersymmetric Yang-Mills theories with local coupling: The supersymmetric gauge

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    Supersymmetric pure Yang-Mills theory is formulated with a local, i.e. space-time dependent, complex coupling in superspace. Super-Yang-Mills theories with local coupling have an anomaly, which has been first investigated in the Wess-Zumino gauge and there identified as an anomaly of supersymmetry. In a manifest supersymmetric formulation the anomaly appears in two other identities: The first one describes the non-renormalization of the topological term, the second relates the renormalization of the gauge coupling to the renormalization of the complex supercoupling. Only one of the two identities can be maintained in perturbation theory. We discuss the two versions and derive the respective beta function of the local supercoupling, which is non-holomorphic in the first version, but directly related to the coupling renormalization, and holomorphic in the second version, but has a non-trivial, i.e.anomalous, relation to the beta function of the gauge coupling.Comment: References correcte

    The Antighost Equation in N=1 Super-Yang-Mills Theories

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    The antighost equation valid for usual gauge theories in the Landau gauge, is generalized to the case of N=1N=1 supersymmetric gauge theories in a supersymmetric version of the Landau gauge. This equation, which expresses the nonrenormalization of the Faddeev-Popov ghost field, plays an important role in the proof of the nonrenormalization theorems for the chiral anomalies.Comment: 8 pages, for the sake of clarity expressions (3.1) and (3.2) have been modified. Due to an E-mail error, the old file was empt

    Algebraic Renormalization of N=1N=1 Supersymmetric Gauge Theories with Supersymmetry Breaking Masses

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    We provide N=1 Super Yang-Mills theory in the Wess-Zumino gauge with mass terms for the supersymmetric partners of the gauge fields and of the matter fields, together with a supersymmetric mass term for the fermionic matter fields. All mass terms are chosen in such a way to induce soft supersymmetry breakings at most, while preserving gauge invariance to all orders of perturbation theory. The breakings are controlled through an extended Slavnov-Taylor identity. The renormalization analysis, both in the ultraviolet and in the infrared region, is performed.Comment: 24 pages, plain LaTeX, no figure

    Supersymmetry algebra cohomology III: Primitive elements in four and five dimensions

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    The primitive elements of the supersymmetry algebra cohomology as defined in a previous paper are computed for standard supersymmetry algebras in four and five dimensions, for all signatures of the metric and any number of supersymmetries.Comment: v2: D=4 analysis simplified, D=5 analysis added, refs. added, typos corrected, 32 page
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