On the plane-wave cubic vertex

Abstract

The exact bosonic Neumann matrices of the cubic vertex in plane-wave light-cone string field theory are derived using the contour integration techniques developed in our earlier paper. This simplifies the original derivation of the vertex. In particular, the Neumann matrices are written in terms of μ-deformed Gamma-functions, thus casting them into a form that elegantly generalizes the well-known flat-space solution. The asymptotics of the μ-deformed Gamma-functions allow one to determine the large-μbehaviour of the Neumann matrices including exponential corrections. We provide an explicit expression for the first exponential correction and make a conjecture for the subsequent exponential correction terms.

26 pages, 1 figure; harvmac (b); v4: minor corrections in appendix D

References in corpus (6)

• The Plane-Wave/Super Yang-Mills Duality
• Lectures on the Plane-Wave String/Gauge Theory Duality
• On the exact open-closed vertex in plane-wave light-cone string field theory
• The Duality between IIB String Theory on PP-wave and N=4 SYM: a Status Report
• Decay widths of three-impurity states in the BMN correspondence
• The Three-String Vertex for a Plane-Wave Background

Cited by in corpus (27)

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• Impurity Non-Preserving 3-Point Correlators of BMN Operators from PP-Wave Holography II : Fermionic Excitations
• Holographic cubic vertex in the pp-wave
• Impurity Non-Preserving 3-Point Correlators of BMN Operators from PP-Wave Holography I : Bosonic Excitations
• Divergence Cancellation and Loop Corrections in String Field Theory on a Plane Wave Background
• Non-perturbative contributions to the plane-wave string mass matrix
• AdS/CFT v.s. String Loops
• New aspects of the BMN correspondence beyond the planar limit
• Holography at string field theory level: Conformal three point functions of BMN operators
• DLCQ String Spectrum from $\mathcal{N}=2$ SYM Theory
• Decay widths of three-impurity states in the BMN correspondence
• Three-point functions at strong coupling in the BMN limit
• On form factors of boundary changing operators
• Non-perturbative effects in the BMN limit of N=4 supersymmetric Yang-Mills
• Mixing of the RR and NSNS sectors in the BMN limit
• Light-cone Superstring Field Theory, pp-wave background and integrability properties
• Four-Impurity Operators and String Field Theory Vertex in the BMN Correspondence
• A note on the uniqueness of the Neumann matrices in the plane-wave background
• Branes in the plane wave background with gauge field condensates
• Aspects of Supersymmetric Gauge Theory and String Theory