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The Three-String Vertex for a Plane-Wave Background

2003/12/23 by John H. Schwarz, Schwarz, John H. · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/0312283

14 pages. To appear in the Ian Kogan Memorial Publication

arxiv created 2003/12/23 · openalex publication_date 2003/12/23 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The three string vertex for Type IIB superstrings in a maximally supersymmetric plane-wave background can be constructed in a light-cone gauge string field theory formalism. The detailed formula contains certain Neumann coefficients, which are functions of a momentum fraction y and a mass parameter μ. This paper reviews the derivation of useful explicit expressions for these Neumann coefficients generalizing flat-space (μ= 0) results obtained long ago. These expressions are then used to explore the large μasymptotic behavior, which is required for comparison with dual perturbative gauge theory results. The asymptotic formulas, exact up to exponentially small corrections, turn out to be surprisingly simple.

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