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arXiv · 2204.12975

Euler top and freedom in supersymmetrization of one-dimensional mechanics

Erik Khastyan·Sergey Krivonos·Armen Nersessian
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Abstract

Recently A.Galajinsky has suggested the N=1 supersymmetric extension of Euler top and made a few interesting observations on its properties [arXiv:2111.06083 [hep-th]]. In this paper we use the formulation of the Euler top as a system on complex projective plane, playing the role of phase space, i.e. as a one-dimensional mechanical system. Then we suggest the supersymmetrization scheme of the generic one-dimensional systems with positive Hamiltonian which yields a priori integrable family of N=2k supersymmetric Hamiltonians parameterized by N/2 arbitrary real functions.

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Erik Khastyan, Sergey Krivonos, Armen Nersessian. 2022-04-27. Euler top and freedom in supersymmetrization of one-dimensional mechanics. https://doi.org/10.1016/j.physleta.2022.128442

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