Proof of all-order finiteness for planar beta-deformed Yang-Mills
High Energy Physics - Theory
2010-10-27 v3
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.
Keywords
Cite
@article{arxiv.hep-th/0609149,
title = {Proof of all-order finiteness for planar beta-deformed Yang-Mills},
author = {Sudarshan Ananth and Stefano Kovacs and Hidehiko Shimada},
journal= {arXiv preprint arXiv:hep-th/0609149},
year = {2010}
}
Comments
27 pages, several figures; v3: minor corrections