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

Chong-Sun Chu·Pei-Ming Ho·Feng-Li Lin
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Abstract

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 $θ=2$. 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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Chong-Sun Chu, Pei-Ming Ho, Feng-Li Lin. 2002-06-10. Cubic String Field Theory in pp-wave Background and Background Independent Moyal Structure. https://doi.org/10.1088/1126-6708%2F2002%2F09%2F003

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