2003/11/30 by James Lucietti, Sakura Schafer-Nameki, Sakura Schäfer‐Nameki +1 · 2 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Particle physics theoretical and experimental studies #hep-th
paper · pdf · doi:10.1103/physrevd.69.086005
published as Phys.Rev. D69 (2004) 086005 · 35 pages, 7 figures; v4: minor changes in appendix
arxiv created 2004/03/18 · openalex publication_date 2004/04/20 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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 \ensuremathμ. This vertex is of relevance to type IIB plane-wave orientifolds, as well type 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 ``\ensuremathμ-deformed Gamma functions,'' which are generalizations of the ordinary Gamma function. The behavior of the Neumann matrices is graphically illustrated and their large-\ensuremathμ asymptotics are analyzed.