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Kähler Potential of Moduli Space in Large Radius Region of Calabi-Yau Manifold

2000/03/20 by Katsuyuki Sugiyama, Sugiyama, Katsuyuki
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #High Energy Physics - Theory (hep-th) #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/0003165

21 pages, 2 figures

arxiv created 2000/03/20 · openalex publication_date 2000/03/20 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study a kaehler potential K in the large radius region of a Calabi-Yau d-fold M embedded in CPd+1. It has a kaehler parameter t that describes a deformation of the A-model moduli. Also the metric, curvature and hermitian two-point functions in the large volume region are analyzed. We use a result of our previous paper in the B-model of the mirror. We perform an analytic continuation of a parameter to the large complex structure region. By translating the result in the A-model side of M, we determine the K. The method is not restricted to this specific model and we apply the recipe to complete intersection Calabi-Yau cases.

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