Diagonal Representation of Open String Star and Moyal Product
Abstract
Description
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 $θ_ξ$.
LaTeX 2e, 21+12 pages, 6 figures, typos corrections
LaTeX 2e, 21+12 pages, 6 figures, typos corrections