Fractional Multi-Trace Fields of N=4 SYM_4 from AdS/CFT

Abstract

We prove inductively that every k-trace operator of SO(6)_R irrep with Young tableau partition {r_1,r_2,r_3}, 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/N^2.

14 pages, 6 figures, revised version, essential changes, to appear in Physics Letters B

References in corpus (8)

• Superconformal Symmetry, Correlation Functions and the Operator Product Expansion
• Exceptional non-renormalization properties and OPE analysis of chiral four-point functions in N=4 SYM_4
• Quarter BPS Operators in N=4 SYM
• OPEs and 3-point correlators of protected operators in N=4 SYM
• On the OPE of 1/2 BPS Short Operators in N=4 SCFT${}_4$
• Three-Point Functions of Quarter BPS Operators in N=4 SYM
• Universal properties of superconformal OPEs for 1/2 BPS operators in $3\le D\le 6$
• Multi-trace quasi-primary fields of $\mathcal{N}=4$ $SY{M}_4$ from AdS n-point functions

Cited by in corpus (3)

• Superconformal Ward Identities and their Solution
• Conformal Partial Wave Expansions for N=4 Chiral Four Point Functions
• Group-Theoretical Classification of BPS and Possibly Protected States in D=4 Conformal Supersymmetry