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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
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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.

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Federico Elmetti, Andrea Mauri, Silvia Penati, Alberto Santambrogio, Daniela Zanon. 2006-06-14. Conformal invariance of the planar beta-deformed N=4 SYM theory requires beta real. https://doi.org/10.1088/1126-6708%2F2007%2F01%2F026

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