Non-renormalization theorems from extension to local coupling
Abstract
Description
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.
Talk presented at the 10th International Conference on Supersymmetry and Unification of Fundamental Interactions (SUSY 02), DESY, Hamburg, Germany
Talk presented at the 10th International Conference on Supersymmetry and Unification of Fundamental Interactions (SUSY 02), DESY, Hamburg, Germany