A surprise in mechanics with nonlinear chiral supermultiplet

Abstract

We show that the nonlinear chiral supermultiplet allows one to construct, over given two-dimensional bosonic mechanics, the family of two-dimensional N=4 supersymmetric mechanics parameterized with the holomorphic function λ (z). We show, that this family includes, as a particular case, the N=4 superextensions of two-dimensional mechanics with magnetic fields, which have factorizable Schroedinger equations.

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