Superstring Interactions in a pp-wave Background II

Abstract

In type IIB light-cone superstring field theory, the cubic interaction has two pieces: a delta-functional overlap and an operator inserted at the interaction point. In this paper we extend our earlier work hep-th/0204146 by computing the matrix elements of this operator in the oscillator basis of pp-wave string theory for all mu p^+ alpha'. By evaluating these matrix elements for large mu p^+ alpha', we check a recent conjecture relating matrix elements of the light-cone string field theory Hamiltonian (with prefactor) to certain three-point functions of BMN operators in the gauge theory. We also make several explicit predictions for gauge theory.

20 pages, harvmac. v3: Note added, corrected a minus sign in the prefactor

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• Operator Mixing and the BMN Correspondence
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• More comments on superstring interactions in the pp-wave background
• A Calculation of the plane wave string Hamiltonian from N=4 super-Yang-Mills theory
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• String interactions in gravitational wave backgrounds
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• Resolving the Holography in the Plane-Wave Limit of AdS/CFT Correspondence
• The 3-string vertex and the AdS/CFT duality in the PP-wave limit
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• PP-wave String Interactions from String Bit Model
• Strings in plane wave backgrounds
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• Open Spinning Strings
• Cubic Interactions in PP-Wave Light Cone String Field Theory
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• On the plane-wave cubic vertex
• String Interactions in PP-wave from N = 4 Super Yang Mills
• The superstring Hagedorn temperature in a pp-wave background
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• Correspondence between the 3-point BMN correlators and the 3-string vertex on the pp-wave
• Note on Plane Wave Quantum Mechanics
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• Open+Closed String Field Theory From Gauge Fields
• String Bits and the Spin Vertex
• Mapping between Witten and Lightcone String Field Theories
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• Strong Evidence In Favor OF The Existence Of S-Matrix For Strings In Plane Waves
• Superstring in a pp-wave background at finite temperature - TFD approach
• A Note on Cubic Interactions in PP-Wave Light Cone String Field Theory
• New tests of the pp-wave correspondence
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• AdS/CFT v.s. String Loops
• Superstrings and D-branes in A Plane Wave
• New aspects of the BMN correspondence beyond the planar limit
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• A note on string interaction on the pp-wave background
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• Matching three-point functions of BMN operators at weak and strong coupling
• PP-Wave Light-Cone Free String Field Theory at Finite Temperature
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• The String Light Cone in the pp-wave Background
• Decay Modes of Unstable Strings in Plane-Wave String Field Theory
• Non-perturbative effects in the BMN limit of N=4 supersymmetric Yang-Mills
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• Mixing of the RR and NSNS sectors in the BMN limit
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• Four-Impurity Operators and String Field Theory Vertex in the BMN Correspondence
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• Strings on Plane Waves and AdS x S
• The Three-String Vertex for a Plane-Wave Background
• A note on the uniqueness of the Neumann matrices in the plane-wave background
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