The Three-String Vertex for a Plane-Wave Background

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.

14 pages. To appear in the Ian Kogan Memorial Publication

References in corpus (10)

• Strings in flat space and pp waves from $\mathcal{N}=4$ Super Yang Mills
• Superstring Interactions in a pp-wave Background
• The Plane-Wave/Super Yang-Mills Duality
• Superstring Interactions in a pp-wave Background II
• Lectures on the Plane-Wave String/Gauge Theory Duality
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• Strings in plane wave backgrounds
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Cited by in corpus (4)

• On the plane-wave cubic vertex
• Non-perturbative contributions to the plane-wave string mass matrix
• Non-perturbative effects in the BMN limit of N=4 supersymmetric Yang-Mills
• A note on the uniqueness of the Neumann matrices in the plane-wave background