Diagonal Representation of Open String Star and Moyal Product

Abstract

We explicitly find the spectrum of the operators Mrs and Mrs, 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() found in hep-th/0202087 we find the discrete non-commutativity parametrized by θ.

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