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

@article{Ananth2007ProofOA,
  title={Proof of all-order finiteness for planar beta-deformed Yang-Mills},
  author={Sudarshan Ananth and Stefano Kovacs and Hidehiko Shimada},
  journal={Journal of High Energy Physics},
  year={2007},
  volume={2007},
  pages={046-046}
}
  • Sudarshan Ananth, Stefano Kovacs, Hidehiko Shimada
  • Published 2007
  • Physics
  • Journal of High Energy Physics
  • We study a marginal deformation of N = 4 Yang–Mills, with a real deformation parameter β. This β-deformed model has only N = 1 supersymmetry and a U(1)×U(1) flavor symmetry. The introduction of a new superspace ⋆-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… CONTINUE READING

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