Exceptional non-renormalization properties and OPE analysis of chiral four-point functions in N=4 SYM4
Abstract
We show that certain classes of apparently unprotected operators in N=4 SYM4 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(λ2) 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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