A new double-scaling limit of N = 4 super-Yang-Mills theory and pp-wave strings

TY - JOUR

T1 - A new double-scaling limit of N = 4 super-Yang-Mills theory and pp-wave strings

AU - Kristjansen, C.

AU - Plefka, J.

AU - Semenoff, G. W.

AU - Staudacher, M.

PY - 2002/11/4

Y1 - 2002/11/4

N2 - The metric of a spacetime with a parallel plane (pp)-wave can be obtained in a certain limit of the space AdS5 × S5. 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.

AB - The metric of a spacetime with a parallel plane (pp)-wave can be obtained in a certain limit of the space AdS5 × S5. 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.

U2 - 10.1016/S0550-3213(02)00749-6

DO - 10.1016/S0550-3213(02)00749-6

M3 - Journal article

AN - SCOPUS:0037020792

SN - 0550-3213

VL - 643

SP - 3

EP - 30

JO - Nuclear Physics, Section B

JF - Nuclear Physics, Section B

IS - 1-3

ER -