### K\"ahler Potential of Moduli Space of Calabi-Yau $d$-fold embedded in $CP^{d+1}$K\"ahler Potential of Moduli Space of Calabi-Yau $d$-fold embedded in $CP^{d+1}$

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 Author Sugiyama, Katsuyuki Source arXiv.org Content type Text File Format PDF Date of Submission 2000-03-19 Language English
 Subject Domain (in DDC) Computer science, information & general works ♦ Natural sciences & mathematics ♦ Physics Subject Keyword High Energy Physics - Theory ♦ physics:hep-th Abstract We study a kaehler potential K of a one parameter family of Calabi-Yau d-fold embedded in CP^{d+1}. By comparing results of the topological B-model and the data of the CFT calculation at Gepner point, the K is determined unambiguously. It has a moduli parameter psi that describes a deformation of the CFT by a marginal operator. Also the metric, curvature and hermitian two-point functions in the neighborhood of the Gepner point are analyzed. We use a recipe of tt^{*} fusion and develop a method to determine the K from the point of view of topological sigma model. It is not restricted to this specific model and can be applied to other Calabi-Yau cases. Description Reference: J.Math.Phys. 41 (2000) 8339-8348 Educational Use Research Learning Resource Type Article Page Count 10