K\"ahler Potential of Moduli Space in Large Radius Region of Calabi-Yau Manifold

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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