Superconformal invariance from N=2 supersymmetry Ward identities

Abstract

We algebraically prove the cancellation of the beta function at all order of perturbation theory of N=2 supersymmetric gauge theories with a vanishing one-loop beta function. The proof generalises that recently given for the N=4 case. It uses the consistent Slavnov-Taylor identities of the shadow dependent formulation. We also demonstrate the cancellation at all orders of the anomalous dimensions of vector and hypermultiplet one half BPS operators.

17 pages

References in corpus (9)

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• Perturbative Beta Function of N=2 Super Yang-Mills Theories
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• Let's Twist Again: N=2 Super Yang Mills Theory Coupled To Matter