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Non-renormalization theorems from extension to local coupling

Elisabeth Kraus
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Abstract

The extension of coupling constants to space-time dependent fields, the local couplings, makes possible to derive the non-renormalization theorems of supersymmetry by an algebraic characterization of Lagrangian N=1 supermultiplets. For super-Yang-Mills theories the construction implies non-renormalization of the coupling beyond one-loop order. However, renormalization in presence of the local gauge coupling is peculiar due to a new anomaly in one-loop order, which appears as an anomaly of supersymmetry in the Wess-Zumino gauge. As an application we derive the closed all-order expression for the gauge $β$ function and prove the non-renormalization of general N=2 supersymmetric theories from a cancellation of the susy anomaly.

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Elisabeth Kraus. 2002-11-11. Non-renormalization theorems from extension to local coupling. https://arxiv.org/abs/hep-th/0211085

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