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Diagonal Representation of Open String Star and Moyal Product

D. M. Belov
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Abstract

We explicitly find the spectrum of the operators $M^{rs}$ and $\widetilde{M}^{rs}$, which specify the star-product in the matter and ghost sectors correspondingly. Further we derive the diagonal representation for the 3-string vertices. Using this representation we identify the appearing Moyal structures in the matter sector. In addition to the continuous non-commutativity parameter $θ(κ)$ found in hep-th/0202087 we find the discrete non-commutativity parametrized by $θ_ξ$.

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D. M. Belov. 2002-05-09. Diagonal Representation of Open String Star and Moyal Product. https://arxiv.org/abs/hep-th/0204164

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