Gravitational corrections to N=2 supersymmetric lagrangians

Abstract

In the framework of special Kahler geometry we consider the supergravity-matter system which emerges on a K3-fibered Calabi-Yau manifold. By applying the rigid limit procedure in the vicinity of a conifold singularity we compute the Kahler potential of the scalars and the kinetic matrix of the vectors to first order in the gravitational coupling.

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