Operator Product Expansion of the Lowest Weight CPOs in N=4 SYM_4 at Strong Coupling

Details Operator Product Expansion of the Lowest Weight CPOs in N=4 SYM_4 at Strong Coupling Operator Product Expansion of the Lowest Weight CPOs in N=4 SYM_4 at Strong Coupling

2000-05-19

arxiv.org/abs/hep-th/0005182v2

Nucl.Phys. B586 (2000) 547-588; Erratum-ibid. B609 (2001) 539

Physics

High Energy Physics

High Energy Physics - Theory

Latex, 47p, subsection 4.5 is modified, typos are corrected

Scientific paper

10.1016/S0550-3213(00)00439-9

We present a detailed analysis of the 4-point functions of the lowest weight chiral primary operators $O^{I} \sim \tr \phi^{(i}\phi^{j)}$ in $\N =4$ SYM$_4$ at strong coupling and show that their structure is compatible with the predictions of AdS/CFT correspondence. In particular, all power-singular terms in the 4-point functions exactly coincide with the contributions coming from the conformal blocks of the CPOs, the R-symmetry current and the stress tensor. Operators dual to string modes decouple at strong coupling. We compute the anomalous dimensions and the leading $1/N^2$ corrections to the normalization constants of the 2- and 3-point functions of scalar and vector double-trace operators with approximate dimensions 4 and 5 respectively. We also find that the conformal dimensions of certain towers of double-trace operators in the {\bf 105}, {\bf 84} and {\bf 175} irreps are non-renormalized. We show that, despite the absence of a non-renormalization theorem for the double-trace operator in the {\bf 20} irrep, its anomalous dimension vanishes. As by-products of our investigation, we derive explicit expressions for the conformal block of the stress tensor, and for the conformal partial wave amplitudes of a conserved current and of a stress tensor in $d$ dimensions.

Affiliated with

Also associated with

No associations

Rating

Operator Product Expansion of the Lowest Weight CPOs in N=4 SYM_4 at Strong Coupling does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Operator Product Expansion of the Lowest Weight CPOs in N=4 SYM_4 at Strong Coupling, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Operator Product Expansion of the Lowest Weight CPOs in N=4 SYM_4 at Strong Coupling will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-617341