Diagonal Representation of Open String Star and Moyal Product

Details Diagonal Representation of Open String Star and Moyal Product Diagonal Representation of Open String Star and Moyal Product

2002-04-19

arxiv.org/abs/hep-th/0204164v2

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX 2e, 21+12 pages, 6 figures, typos corrections

Scientific paper

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 $\theta(\kappa)$ found in hep-th/0202087 we find the discrete non-commutativity parametrized by $\theta_{\xi}$.

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