Note on N=4 supersymmetric mechanics on Kahler manifolds -: art. no. 021702

The geometric models of N=4 supersymmetric mechanics with (2d.2d)(c)-dimensional phase space are proposed, which can be viewed as one-dimensional counterparts of the two-dimensional N=2 supersymmetric sigma models of Alvarez-Gaume and Freedman. The related construction of supersymmetric mechanics whose phase space is a Kahler supermanifold is considered. Also, its relation with antisymplectic geometry is discussed.