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arXiv · hep-th/0609149

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

Sudarshan Ananth·Stefano Kovacs·Hidehiko Shimada
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Abstract

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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Sudarshan Ananth, Stefano Kovacs, Hidehiko Shimada. 2007-07-31. Proof of all-order finiteness for planar beta-deformed Yang-Mills. https://doi.org/10.1088/1126-6708%2F2007%2F01%2F046

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