Superconformal invariance from N=2 supersymmetry Ward identities

Baulieu, Laurent; Bossard, Guillaume

doi:10.1088/1126-6708/2008/02/075

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Superconformal invariance from N=2 supersymmetry Ward identities

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Bossard, Guillaume
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Baulieu, L., & Bossard, G. (2008). Superconformal invariance from N=2 supersymmetry Ward identities. Journal of High Energy Physics, 2008(2): 075. doi:10.1088/1126-6708/2008/02/075.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-625E-D

Abstract

We algebraically prove the cancellation of the β function at all order of perturbation theory of Script N = 2 supersymmetric gauge theories with a vanishing one-loop β function. The proof generalises that recently given for the Script 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 ½BPS operators.