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Exceptional non-renormalization properties and OPE analysis of chiral four-point functions in N=4 SYM_4

G. Arutyunov·B. Eden·A. C. Petkou·E. Sokatchev
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Abstract

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(λ^2) and we perform a detailed OPE analysis. Our results reveal the existence of new non-renormalized operators of approximate dimension 6.

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G. Arutyunov, B. Eden, A. C. Petkou, E. Sokatchev. 2004-08-05. Exceptional non-renormalization properties and OPE analysis of chiral four-point functions in N=4 SYM_4. https://doi.org/10.1016/s0550-3213(01)00569-7

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