On the plane-wave cubic vertex

Details On the plane-wave cubic vertex On the plane-wave cubic vertex

2004-02-24

arxiv.org/abs/hep-th/0402185v4

Phys.Rev. D70 (2004) 026005

Physics

High Energy Physics

High Energy Physics - Theory

26 pages, 1 figure; harvmac (b); v4: minor corrections in appendix D

Scientific paper

10.1103/PhysRevD.70.026005

The exact bosonic Neumann matrices of the cubic vertex in plane-wave light-cone string field theory are derived using the contour integration techniques developed in our earlier paper. This simplifies the original derivation of the vertex. In particular, the Neumann matrices are written in terms of \mu-deformed Gamma-functions, thus casting them into a form that elegantly generalizes the well-known flat-space solution. The asymptotics of the \mu-deformed Gamma-functions allow one to determine the large-\mu behaviour of the Neumann matrices including exponential corrections. We provide an explicit expression for the first exponential correction and make a conjecture for the subsequent exponential correction terms.

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