On the exact open-closed vertex in plane-wave light-cone string field theory

Abstract

The open-closed vertex in the maximally supersymmetric type IIB plane-wave light-cone string field theory is considered and an explicit solution for the bosonic part of the vertex is derived, valid for all values of the mass parameter, μ. This vertex is of relevance to IIB plane-wave orientifolds, as well as IIB plane-wave strings in the presence of D-branes and their gauge theory duals. Methods of complex analysis are used to develop a systematic procedure for obtaining the solution. This procedure is first applied to the vertex in flat space and then extended to the plane-wave case. The plane-wave solution for the vertex requires introducing certain ``μ-deformed Gamma functions'', which are generalizations of the ordinary Gamma function. The behaviour of the Neumann matrices is graphically illustrated and their large-μasymptotics are analysed.

35 pages, 7 figures; v4: minor changes in appendix

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• Stringy sums and corrections to the quantum string Bethe ansatz
• Exact expressions for quantum corrections to spinning strings
• Open Spinning Strings
• On the plane-wave cubic vertex
• Holographic cubic vertex in the pp-wave
• 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
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• Gravitational wave solutions in string and M-theory AdS Backgrounds
• 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
• Branes in the plane wave background with gauge field condensates
• A note on the uniqueness of the Neumann matrices in the plane-wave background
• Liouville Theory, AdS${}_2$ String, and Three-Point Functions
• Aspects of Supersymmetric Gauge Theory and String Theory