d-Geometries Revisited
Anna Ceresole, Sergio Ferrara, Alessandra Gnecchi, Alessio Marrani
TL;DR
This paper explores the properties of four-dimensional supergravity theories derived from five dimensions, focusing on d-geometries with cubic prepotentials and their applications to black hole solutions.
Contribution
It generalizes d-geometries to N>2 supersymmetries and emphasizes scalar field parametrization and symplectic basis for analyzing supergravity models.
Findings
Extended d-geometries for N>2 supersymmetries are characterized.
Scalar field parametrization impacts supergravity analysis.
Applications to non-BPS extremal black hole flow equations.
Abstract
We analyze some properties of the four dimensional supergravity theories which originate from five dimensions upon reduction. They generalize to N>2 extended supersymmetries the d-geometries with cubic prepotentials, familiar from N=2 special K\"ahler geometry. We emphasize the role of a suitable parametrization of the scalar fields and the corresponding triangular symplectic basis. We also consider applications to the first order flow equations for non-BPS extremal black holes.
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