Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2002-05-03
Nucl.Phys. B643 (2002) 3-30
Physics
High Energy Physics
High Energy Physics - Theory
26 pages, 12 figures; v2: correction of typos and of anomalous dimension in last section and appendix
Scientific paper
10.1016/S0550-3213(02)00749-6
The metric of a spacetime with a parallel plane (pp)-wave can be obtained in a certain limit of the space AdS^5xS^5. According to the AdS/CFT correspondence, the holographic dual of superstring theory on that background should be the analogous limit of N=4 supersymmetric Yang-Mills theory. In this paper we shall show that, contrary to widespread expectation, non-planar diagrams survive this limiting procedure in the gauge theory. Using matrix model techniques as well as combinatorial reasoning it is demonstrated that a subset of diagrams of arbitrary genus survives and that a non-trivial double scaling limit may be defined. We exactly compute two- and three-point functions of chiral primaries in this limit. We also carefully study certain operators conjectured to correspond to string excitations on the pp-wave background. We find non-planar linear mixing of these proposed operators, requiring their redefinition. Finally, we show that the redefined operators receive non-planar corrections to the planar one-loop anomalous dimension.
Kristjansen Charlotte
Plefka Jan
Semenoff Gordon W.
Staudacher Matthias
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