Nilpotent invariants in N=4 SYM

Details Nilpotent invariants in N=4 SYM Nilpotent invariants in N=4 SYM

1999-05-12

arxiv.org/abs/hep-th/9905085v1

Phys.Lett.B463:19-26,1999

Physics

High Energy Physics

High Energy Physics - Theory

9 pages

Scientific paper

10.1016/S0370-2693(99)00705-4

It is shown that there are no nilpotent invariants in N=4 analytic superspace for $n\leq4$ points. It is argued that there is (at least) one such invariant for n=5 points which is not invariant under U(1)_Y. The consequences of these results are that the n=2 and 3 point correlation functions of the N=4 gauge-invariant operators which correspond to KK multiplets in AdS supergravity are given exactly by their tree level expressions, the 4 point correlation functions of such operators are invariant under U(1)_Y and correlation functions with $n\geq 4$ points have non-trivial dependence on the Yang-Mills coupling constant.

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