Supersymmetric many-body Euler–Calogero–Moser model

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Krivonos, S.; Sutulin, A.; Lechtenfeld, O.: Supersymmetric many-body Euler–Calogero–Moser model. In: Physics Letters B 790 (2019), S. 191-196. DOI: https://doi.org/10.1016/j.physletb.2019.01.018

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Abstract: 
We explicitly construct a supersymmetric $so(n)$ spin-Calogero model with an arbitrary even number $\cal N$ of supersymmetries. It features $\frac{1}{2}{\cal N}n(n{+}1)$ rather than ${\cal N}n$ fermionic coordinates and a very simple structure of the supercharges and the Hamiltonian. The latter, together with additional conserved currents, form an $osp({\cal N}|2)$ superalgebra. We provide a superspace description for the simplest case, namely ${\cal N}{=}2$ supersymmetry. The reduction to an $\cal N$-extended supersymmetric goldfish model is also discussed.
License of this version: CC BY 4.0 Unported
Document Type: Article
Publishing status: publishedVersion
Issue Date: 2019
Appears in Collections:Fakultät für Mathematik und Physik

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pos. country downloads
total perc.
1 image of flag of Germany Germany 46 62.16%
2 image of flag of United States United States 16 21.62%
3 image of flag of China China 6 8.11%
4 image of flag of Taiwan Taiwan 1 1.35%
5 image of flag of Serbia Serbia 1 1.35%
6 image of flag of Poland Poland 1 1.35%
7 image of flag of France France 1 1.35%
8 image of flag of Brazil Brazil 1 1.35%
9 image of flag of Anonymous Proxy Anonymous Proxy 1 1.35%

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