Multi-trace quasi-primary fields of $\mathcal{N}=4$ $SYM_4$ from AdS n-point functions

Details Multi-trace quasi-primary fields of $\mathcal{N}=4$ $SYM_4$ from AdS n-point functions Multi-trace quasi-primary fields of $\mathcal{N}=4$ $SYM_4$ from AdS n-point functions

2001-12-20

arxiv.org/abs/hep-th/0112191v4

Nucl.Phys. B641 (2002) 188-222

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

We develop a recursive algorithm for the investigation of infinite sequences of quasi-primary fields obtained from chiral primary operators (CPOs) $O^I_k(x)$ 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.

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