Fractional Multi-Trace Fields of N=4 SYM4 from AdS/CFT

Abstract

We prove inductively that every k-trace operator of SO(6)R irrep with Young tableau partition r1,r2,r3, constructed out of k chiral primaries in the twenty dimensional SO(6)R irrep, leads to a quasi primary field with protected conformal dimension. Our argument is based on perturbative evaluations of certain four point functions up to order 1/N2.

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