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 $\mathcal{N}=4$ supersymmetric mechanics parameterized with the holomorphic function $\lambda (z)$. We show, that this family includes, as a particular case, the $\mathcal{N}=4$ superextensions of two-dimensional mechanics with magnetic fields, which have factorizable Schroedinger equations.

arXiv comment4 papers, PACS numbers 11.30.Pb, 03.65.-w, Typo in Reference [13] corrected. Proper order of References [13] and [14] restored

References in corpus (19)

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Cited by in corpus (12)

• Cuboctahedric Higgs oscillator from the Calogero model
• Action-angle variables for dihedral systems on the circle
• Second Hopf map and supersymmetric mechanics with Yang monopole
• Action-angle variables for the particle near extreme Kerr throat
• Hamiltonian reduction and supersymmetric mechanics with Dirac monopole
• Geometry of N=4, d=1 nonlinear supermultiplet
• Supersymmetric Extension of Hopf Maps: N=4 sigma-models and the S^3 -> S^2 Fibration
• Generic N=4 supersymmetric hyper-Kähler sigma models in D=1
• Symmetries of deformed supersymmetric mechanics on Kähler manifolds
• Quantum SU$(2|1)$ supersymmetric ${\mathbb{C}}^N$ Smorodinsky--Winternitz system
• N=8 supersymmetric mechanics on the sphere S^3
• N=4, d=3 nonlinear electrodynamics