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

L. Hoffmann; L. Mesref; A. Meziane; W. RÃ¼hl

doi:10.1016/S0550-3213(02)00565-5

paper

Multi-trace quasi-primary fields of $N = 4$ $S Y M_{4}$ from AdS n-point functions

arXiv:hep-th/0112191 · doi:10.1016/S0550-3213(02)00565-5

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 $O (\frac{1}{N ^{2}})$ 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)

Multi-trace quasi-primary fields of N=4 SYM4​ from AdS n-point functions

Abstract

Multi-trace quasi-primary fields of $N = 4$ $S Y M_{4}$ from AdS n-point functions