Special Kahler Manifolds
High Energy Physics - Theory
2014-11-18 v2 alg-geom
dg-ga
Algebraic Geometry
Differential Geometry
Abstract
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.
Keywords
Cite
@article{arxiv.hep-th/9712042,
title = {Special Kahler Manifolds},
author = {Daniel S. Freed},
journal= {arXiv preprint arXiv:hep-th/9712042},
year = {2014}
}
Comments
29 pages, amstex, revised version contains minor corrections, to appear in Commun. Math. Phys