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


Abstract in English

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

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