Special Kahler Manifolds

Details Special Kahler Manifolds Special Kahler Manifolds

1997-12-04

arxiv.org/abs/hep-th/9712042v2

Commun.Math.Phys. 203 (1999) 31-52

Physics

High Energy Physics

High Energy Physics - Theory

29 pages, amstex, revised version contains minor corrections, to appear in Commun. Math. Phys

Scientific paper

10.1007/s002200050604

We give an intrinsic definition of the special geometry which arises in global N=2 supersymmetry in four dimensions. The base of an algebraic integrable system exhibits this geometry, and with an integrality hypothesis any special Kahler manifold is so related to an integrable system. The cotangent bundle of a special Kahler manifold carries a hyperkahler metric. We also define special geometry in supergravity in terms of the special geometry in global supersymmetry.

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