Nilpotent invariants in N=4 SYM

Abstract

It is shown that there are no nilpotent invariants in N=4 analytic superspace for $n\le 4$ 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 $n\ge 4$ points have non-trivial dependence on the Yang-Mills coupling constant.

9 pages

References in corpus (1)

• Extremal Correlators in the AdS/CFT Correspondence

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