Remarks on \(\mathcal{N} = 1\) supersymmetric extension of the Euler top
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Publication:2075554
DOI10.1016/J.NUCLPHYSB.2022.115668zbMATH Open1495.70003arXiv2111.06083OpenAlexW4205250750MaRDI QIDQ2075554
Author name not available (Why is that?)
Publication date: 14 February 2022
Published in: (Search for Journal in Brave)
Abstract: A natural N=1 supersymmetric extension of the Euler top, which introduces exactly one fermionic counterpart for each bosonic degree of freedom, is considered. The equations of motion, their symmetries and integrals of motion are given. It is demonstrated that, although in general the system lacks the integrability property, it admits an interesting integrable reduction, for which all fermions are proportional to one and the same Grassmann-odd number - a value of the conserved supercharge. A generalisation involving an arbitrary three-dimensional real Lie algebra is proposed.
Full work available at URL: https://arxiv.org/abs/2111.06083
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