On the all-order perturbative finiteness of the deformed N=4 SYM theory

Details On the all-order perturbative finiteness of the deformed N=4 SYM theory On the all-order perturbative finiteness of the deformed N=4 SYM theory

2006-06-30

arxiv.org/abs/hep-th/0606284v1

Nucl.Phys.B754:329-350,2006

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX, 28 pages, 5 figures

Scientific paper

10.1016/j.nuclphysb.2006.08.011

We prove that the chiral propagator of the deformed N=4 SYM theory can be made finite to all orders in perturbation theory for any complex value of the deformation parameter. For any such value the set of finite deformed theories can be parametrized by a whole complex function of the coupling constant g. We reveal a new protection mechanism for chiral operators of dimension three. These are obtained by differentiating the Lagrangian with respect to the independent coupling constants. A particular combination of them is a CPO involving only chiral matter. Its all-order form is derived directly from the finiteness condition. The procedure is confirmed perturbatively through order g^6.

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