Gravitational corrections to N=2 supersymmetric lagrangians
Sergio Cacciatori, Daniela Zanon
TL;DR
This paper investigates how gravitational effects modify N=2 supersymmetric Lagrangians within the context of special Kahler geometry, focusing on Calabi-Yau compactifications and conifold singularities.
Contribution
It computes the first-order gravitational corrections to the Kahler potential and vector kinetic matrix in N=2 supergravity derived from K3-fibered Calabi-Yau manifolds.
Findings
Derived the Kahler potential near conifold singularity
Calculated the vector kinetic matrix with gravitational corrections
Provided insights into supergravity-matter interactions in string compactifications
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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