Proof of all-order finiteness for planar beta-deformed Yang-Mills

Details Proof of all-order finiteness for planar beta-deformed Yang-Mills Proof of all-order finiteness for planar beta-deformed Yang-Mills

2006-09-22

arxiv.org/abs/hep-th/0609149v3

JHEP 0701:046,2007

Physics

High Energy Physics

High Energy Physics - Theory

27 pages, several figures; v3: minor corrections

Scientific paper

10.1088/1126-6708/2007/01/046

We study a marginal deformation of N=4 Yang-Mills, with a real deformation parameter beta. This beta-deformed model has only N=1 supersymmetry and a U(1)xU(1) flavor symmetry. The introduction of a new superspace star-product allows us to formulate the theory in N=4 light-cone superspace, despite the fact that it has only N=1 supersymmetry. We show that this deformed theory is conformally invariant, in the planar approximation, by proving that its Green functions are ultra-violet finite to all orders in perturbation theory.

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