Cubic String Field Theory in pp-wave Background and Background Independent Moyal Structure

Details Cubic String Field Theory in pp-wave Background and Background Independent Moyal Structure Cubic String Field Theory in pp-wave Background and Background Independent Moyal Structure

2002-05-21

arxiv.org/abs/hep-th/0205218v2

JHEP 0209 (2002) 003

Physics

High Energy Physics

High Energy Physics - Theory

Latex, 23 pages, reference added

Scientific paper

10.1088/1126-6708/2002/09/003

We study Witten open string field theory in the pp-wave background in the tensionless limit, and construct the N-string vertex in the basis which diagonalizes the string perturbative spectrum. We found that the Witten *-product can be viewed as infinite copies of the Moyal product with the same noncommutativity parameter $\theta=2$. Moreover, we show that this Moyal structure is universal in the sense that, written in the string bit basis, Witten's *-product for any background can always be given in terms of the above-mentioned Moyal structure. We identify some projective operators in this algebra that we argue to correspond to D-branes of the theory.

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