Multi-trace quasi-primary fields of $\mathcal{N}=4$ $SY{M}_4$ from AdS n-point functions

Abstract

We develop a recursive algorithm for the investigation of infinite sequences of quasi-primary fields obtained from chiral primary operators (CPOs) $O_k^I(x)$ and eventually their derivatives by applying operator product expansions and singling out SO(6) representations. We show that normal products of $O_2$ operators can be expressed in terms of projection operators on representations of SO(20) and discuss intertwining operators for SO(6) representations. Furthermore we derive $\mathcal{O}(\frac{1}{N^2})$ corrections to AdS/CFT 4-point functions by graphical combinatorics and finally extract anomalous dimensions by applying the method of conformal partial wave analysis. We find infinite sequences of quasi-primary fields with vanishing anomalous dimensions and interpret them as 1/2-BPS or 1/4-BPS fields.

32 pages, 16 figures, 1 table, comments added in section 2, corrections in eqns (4.17), (5.5)-(5.8)

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Cited by in corpus (5)

• Implications of Superconformal Symmetry for Interacting (2,0) Tensor Multiplets
• Systematics of Quarter BPS operators in N=4 SYM
• Positive Energy Unitary Irreducible Representations of the Superalgebras osp(1|2n,R)
• Characters of the Positive Energy UIRs of D=4 Conformal Supersymmetry
• Fractional Multi-Trace Fields of N=4 SYM_4 from AdS/CFT