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arXiv · hep-th/0112191

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

L. Hoffmann·L. Mesref·A. Meziane·W. Rühl
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Abstract

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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L. Hoffmann, L. Mesref, A. Meziane, W. Rühl. 2002-04-19. Multi-trace quasi-primary fields of $\mathcal{N}=4$ $SYM_4$ from AdS n-point functions. https://doi.org/10.1016/s0550-3213(02)00565-5

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