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

Abstract

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 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.

LaTex, 15 pages, 7 figures

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• (Non)-supersymmetric Marginal Deformations from Twistor String Theory
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• Structure constants of $\beta$ deformed super Yang-Mills
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• Marginal Deformations of N=4 SYM and Open vs. Closed String Parameters