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Exceptional non-renormalization properties and OPE analysis of chiral four-point functions in \(N=4\) SYM\(_4\). (English) Zbl 0982.81049

Summary: We show that certain classes of apparently unprotected operators in \(N=4\) SYM\(_4\) do not receive quantum corrections as a consequence of a partial non-renormalization theorem for the 4-point function of chiral primary operators. We develop techniques yielding the asymptotic expansion of the 4-point function of CPOs up to order \(O(\lambda^2)\) and we perform a detailed OPE analysis. Our results reveal the existence of new non-renormalized operators of approximate dimension 6.

MSC:

81T60 Supersymmetric field theories in quantum mechanics
81T13 Yang-Mills and other gauge theories in quantum field theory
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