Toda lattice hierarchy and generalized string equations |
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Authors: | Kanehisa Takasaki |
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Affiliation: | (1) Department of Fundamental Sciences, Faculty of Integrated Human Studies, Kyoto University, Yoshida, 606 Sakyo-ku, Kyoto, Japan |
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Abstract: | String equations of thepth generalized Kontsevich model and the compactifiedc=1 string theory are re-examined in the language of the Toda lattice hierarchy. As opposed to a hypothesis postulated in the literature, the generalized Kontsevich model atp=–1 does not coincide with thec=1 string theory at selfdual radius. A broader family of solutions of the Toda lattice hierarchy including these models is constructed, and shown to satisfy generalized string equations. The status of a variety ofc 1 string models is discussed in this new framework. |
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