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

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A new double-scaling limit of N = 4 super-Yang-Mills theory and pp-wave strings. / Kristjansen, C.; Plefka, J.; Semenoff, G. W.; Staudacher, M.

In: Nuclear Physics B, Vol. 643, No. 1-3, 04.11.2002, p. 3-30.

Research output: Contribution to journal › Journal article › Research › peer-review

Harvard

Kristjansen, C, Plefka, J, Semenoff, GW & Staudacher, M 2002, 'A new double-scaling limit of N = 4 super-Yang-Mills theory and pp-wave strings', Nuclear Physics B, vol. 643, no. 1-3, pp. 3-30. https://doi.org/10.1016/S0550-3213(02)00749-6

APA

Kristjansen, C., Plefka, J., Semenoff, G. W., & Staudacher, M. (2002). A new double-scaling limit of N = 4 super-Yang-Mills theory and pp-wave strings. Nuclear Physics B, 643(1-3), 3-30. https://doi.org/10.1016/S0550-3213(02)00749-6

Vancouver

Kristjansen C, Plefka J, Semenoff GW, Staudacher M. A new double-scaling limit of N = 4 super-Yang-Mills theory and pp-wave strings. Nuclear Physics B. 2002 Nov 4;643(1-3):3-30. https://doi.org/10.1016/S0550-3213(02)00749-6

Author

Kristjansen, C. ; Plefka, J. ; Semenoff, G. W. ; Staudacher, M. / A new double-scaling limit of N = 4 super-Yang-Mills theory and pp-wave strings. In: Nuclear Physics B. 2002 ; Vol. 643, No. 1-3. pp. 3-30.

Bibtex

@article{7d1ef31bcd984b29b236cc32bc6d8184,
title = "A new double-scaling limit of N = 4 super-Yang-Mills theory and pp-wave strings",
abstract = "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.",
author = "C. Kristjansen and J. Plefka and Semenoff, {G. W.} and M. Staudacher",
year = "2002",
month = nov,
day = "4",
doi = "10.1016/S0550-3213(02)00749-6",
language = "English",
volume = "643",
pages = "3--30",
journal = "Nuclear Physics, Section B",
issn = "0550-3213",
publisher = "Elsevier BV * North-Holland",
number = "1-3",

}

RIS

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

VL - 643

SP - 3

EP - 30

JO - Nuclear Physics, Section B

JF - Nuclear Physics, Section B

SN - 0550-3213

IS - 1-3

ER -

ID: 186917186