d-Geometries Revisited

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 Kähler 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.

37 pages; some clarifications and 1 reference added

References in corpus (5)

• First Order Description of Black Holes in Moduli Space
• Extremal black holes, nilpotent orbits and the true fake superpotential
• 4d/5d Correspondence for the Black Hole Potential and its Critical Points
• First order flows for N=2 extremal black holes and duality invariants
• Universality of the superpotential for d = 4 extremal black holes

Cited by in corpus (4)

• Dualities Near the Horizon
• Iwasawa nilpotency degree of non compact symmetric cosets in N-extended Supergravity
• Jordan meets Freudenthal. A Black Hole Exceptional Story
• BPS Black Hole Entropy and Attractors in Very Special Geometry. Cubic Forms, Gradient Maps and their Inversion