Kähler Potential of Moduli Space of Calabi-Yau $d$-fold embedded in $CP^{d+1}$

Details Kähler Potential of Moduli Space of Calabi-Yau $d$-fold embedded in $CP^{d+1}$ Kähler Potential of Moduli Space of Calabi-Yau $d$-fold embedded in $CP^{d+1}$

2000-03-20

arxiv.org/abs/hep-th/0003164v1

J.Math.Phys. 41 (2000) 8339-8348

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, 2 figures

Scientific paper

10.1063/1.1319848

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.

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