Kähler geometry and SUSY mechanics

Abstract

We present two examples of SUSY mechanics related with Kähler geometry. The first system is the N=4 supersymmetric one-dimensional sigma-model proposed in hep-th/0101065. Another system is the N=2 SUSY mechanics whose phase space is the external algebra of an arbitrary Kähler manifold. The relation of these models with antisymplectic geometry is discussed.

6 pages, one reference added,to be published in Nuclear Physics B Conference Supplements (D.V.Volkov Memorial Conference, July 25-29, 2000, Kharkov)

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