A note on the uniqueness of the Neumann matrices in the plane-wave background

Details A note on the uniqueness of the Neumann matrices in the plane-wave background A note on the uniqueness of the Neumann matrices in the plane-wave background

2004-07-06

arxiv.org/abs/hep-th/0407035v2

Phys.Lett. B598 (2004) 285-293

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, Latex, 2 references added

Scientific paper

10.1016/j.physletb.2004.08.017

In this note, we prove the uniqueness of the Neumann matrices of the open-closed vertex in plane-wave light-cone string-field theory, first derived for all values of the mass parameter mu in hep-th/0311231. We also prove the existence and uniqueness of the inverse of an infinite dimensional matrix necessary for the cubic vertex Neumann matrices, and give an explicit expression for it in terms of mu-deformed Gamma functions. Methods of complex analysis are used together with the analytic properties of the mu-deformed Gamma functions. One of the implications of these results is that the geometrical continuity conditions suffice to determine the bosonic part of the vertices as in flat space.

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