Correspondence between the 3-point BMN correlators and the 3-string vertex on the pp-wave

Abstract

The PP-wave/SYM proposal in its original form emphasizes a duality relation between the masses of the string states and the anomalous dimensions of the corresponding BMN operators in gauge theory, the mass--dimension type duality. In this paper, we give evidence in favour of another duality relation of the vertex--correlator type, which relates the coefficients of 3-point correlators of BMN operators in gauge theory to 3-string vertices in lightcone string field theory in the pp-wave background. We verify that all the available field theory results in the literature, as well as the newly obtained ones, for the 3-point functions are successfully reproduced from our proposal.

22 pages

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Cited by in corpus (26)

• The Dilatation Operator of Conformal N=4 Super Yang-Mills Theory
• The Dilatation Operator of N=4 Super Yang-Mills Theory and Integrability
• HHL correlators, orbit averaging and form factors
• Resolving the Holography in the Plane-Wave Limit of AdS/CFT Correspondence
• String field theory vertex from integrability
• Strings in plane wave backgrounds
• SYM Description of PP-wave String Interactions: Singlet Sector and Arbitrary Impurities
• On the plane-wave cubic vertex
• The superstring Hagedorn temperature in a pp-wave background
• Conformal Dimensions of Two-Derivative BMN Operators
• An alternative formulation of light-cone string field theory on the plane wave
• Open+Closed String Field Theory From Gauge Fields
• Fermion BMN operators, the dilatation operator of N=4 SYM, and pp-wave string interactions
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• BMN operators with three scalar impurites and the vertex--correlator duality in pp-wave
• Holographic cubic vertex in the pp-wave
• Light-Cone String Field Theory in a Plane Wave Background
• Operator mixing and three-point functions in N=4 SYM
• Impurity Non-Preserving 3-Point Correlators of BMN Operators from PP-Wave Holography I : Bosonic Excitations
• BMN operators with vector impurities, Z_2 symmetry and pp-waves
• New tests of the pp-wave correspondence
• Non-perturbative contributions to the plane-wave string mass matrix
• Holography at string field theory level: Conformal three point functions of BMN operators
• The String Light Cone in the pp-wave Background
• Local Commutativity and Causality in Interacting PP-wave String Field Theory