PP-wave string interactions from n-point correlators of BMN operators

Abstract

BMN operators are characterized by the fact that they have infinite R-charge and finite anomalous dimension in the BMN double scaling limit. Using this fact, we show that the BMN operators close under operator product expansion and form a sector in the N=4 supersymmetric Yang-Mills theory. We then identify short-distance limits of general BMN n-point correlators, and show how they correspond to the pp-wave string interactions. We also discuss instantons in the light of the pp-wave/SYM correspondence.

14 pages, 4 figures. v3: discussions improved, comments on recent literatures included, results and conclusions unchanged, version to appear in JHEP

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• BMN Gauge Theory as a Quantum Mechanical System
• Strings in the near plane wave background and AdS/CFT
• A Calculation of the plane wave string Hamiltonian from N=4 super-Yang-Mills theory
• Bit Strings from N=4 Gauge Theory
• PP-wave String Interactions from String Bit Model
• Strings in plane wave backgrounds
• SYM Description of PP-wave String Interactions: Singlet Sector and Arbitrary Impurities
• Gauge theory description of compactified pp-waves
• BMN operators and string field theory
• Conformal Dimensions of Two-Derivative BMN Operators
• Surprises from the Resolution of Operator Mixing in N = 4 SYM
• Correspondence between the 3-point BMN correlators and the 3-string vertex on the pp-wave
• Open+Closed String Field Theory From Gauge Fields
• SYM Description of SFT Hamiltonian in a PP-Wave Background
• Fermion BMN operators, the dilatation operator of N=4 SYM, and pp-wave string interactions
• BMN operators with three scalar impurites and the vertex--correlator duality in pp-wave
• Supersymmetric D3 brane and N=4 SYM actions in plane wave backgrounds
• BMN operators with vector impurities, Z_2 symmetry and pp-waves
• D-branes in PP-wave light cone string field theory
• AdS/CFT v.s. String Loops
• DLCQ String Spectrum from $\mathcal{N}=2$ SYM Theory
• Chiral primary cubic interactions from pp-wave supergravity