论文标题
Euler Top和一维力学超对称性的自由度
Euler top and freedom in supersymmetrization of one-dimensional mechanics
论文作者
论文摘要
最近，A.Galajinsky提出了Euler Top的N = 1个超对称延伸，并就其性质进行了一些有趣的观察结果[ARXIV：2111.06083 [HEP-TH]。在本文中，我们将Euler Top的配方用作复杂的投影平面上的系统，扮演相空间的作用，即作为一维机械系统。 然后，我们建议具有阳性哈密顿量的通用一维系统的超对称方案，该方案通过N = 2K超对称性汉密尔顿人的先验性n/2个任意实际函数参数。
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.
