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Protected Operators in N=2,4 Supersymmetric Theories

arXiv:hep-th/0105005 · doi:10.1016/S0550-3213(01)00398-4

Abstract

The anomalous dimension of single and multi-trace composite operators of scalar fields is shown to vanish at all orders of the perturbative series. The proof hold for theories with N=2 supersymmetry with any number of hypermultiplets in a generic representation of the gauge group. It then applies to the finite N=4 theory as well as to non conformal N=2 models.

17 pages, no figures; some misprints corrected, references added