Special Kaehler geometry

Details Special Kaehler geometry Special Kaehler geometry

2000-02-15

arxiv.org/abs/math/0002122v1

Mathematics

Differential Geometry

Contribution to the Proceedings of the Second Meeting on Quaternionic Structures in Mathematics and Physics, Rome 6-10 Septemb

Scientific paper

The geometry that is defined by the scalars in couplings of Einstein-Maxwell theories in N=2 supergravity in 4 dimensions is denoted as special Kaehler geometry. There are several equivalent definitions, the most elegant ones involve the symplectic duality group. The original construction used conformal symmetry, which immediately clarifies the symplectic structure and provides a way to make connections to quaternionic geometry and Sasakian manifolds.

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