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

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

arxiv: hep-th/0606125 · v1 · submitted 2006-06-14 · ✦ hep-th

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

Federico Elmetti , Andrea Mauri , Silvia Penati , Alberto Santambrogio , Daniela Zanon This is my paper

classification ✦ hep-th

keywords betadeformationtheoryconformalinvarianceparameterrequiresbeta-deformed

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

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