A note on N=4 supersymmetric mechanics on Kähler manifolds

Details A note on N=4 supersymmetric mechanics on Kähler manifolds A note on N=4 supersymmetric mechanics on Kähler manifolds

2001-01-11

arxiv.org/abs/hep-th/0101065v1

Phys.Rev.D64:021702,2001

Physics

High Energy Physics

High Energy Physics - Theory

4 pages, revtex

Scientific paper

10.1103/PhysRevD.64.021702

The geometric models of N=4 supersymmetric mechanics with $(2d.2d)_{\DC}$-dimensional phase space are proposed, which can be viewed as one-dimensional counterparts of two-dimensional N=2 supersymmetric sigma-models by Alvarez-Gaum\'e and Freedman. The related construction of supersymmetric mechanics whose phase space is a K\"ahler supermanifold is considered. Also, its relation with antisymplectic geometry is discussed.

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