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Conformal invariance of the planar beta-deformed N=4 SYM theory requires beta real

Federico Elmetti, Andrea Mauri, Silvia Penati, Alberto Santambrogio, Daniela Zanon

hep-tharXiv:hep-th/0606125

Abstract

We study the N=1 SU(N) SYM theory which is a marginal deformation of the N=4 theory, with a complex deformation parameter β. We consider the large N limit and study perturbatively the conformal invariance condition. We find that finiteness requires reality of the deformation parameter β.

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