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Nilpotent invariants in N=4 SYM

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abstract

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.

fields

hep-th 1

years

2026 1

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UNVERDICTED 1

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Tracing Transcendentality in Protected Correlators of N=4 SYM

hep-th · 2026-06-16 · unverdicted · novelty 5.0

Explicit two-loop computations of protected correlators in N=4 SYM yield a universal one-loop term and a planar extrapolation at arbitrary dimension controlled by stress-tensor multiplet count.

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  • Tracing Transcendentality in Protected Correlators of N=4 SYM hep-th · 2026-06-16 · unverdicted · none · ref 4 · internal anchor

    Explicit two-loop computations of protected correlators in N=4 SYM yield a universal one-loop term and a planar extrapolation at arbitrary dimension controlled by stress-tensor multiplet count.