Extended supersymmetric multiparticle Euler-Calogero-Moser model
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Original version
Krivonos, S.; Lechtenfeld, O.; Sutulin, A.: Extended supersymmetric multiparticle Euler-Calogero-Moser model. In: Journal of Physics: Conference Series 1194 (2019), Nr. 1, 12062. DOI:
https://doi.org/10.1088/1742-6596/1194/1/012062
Repository version
To cite the version in the repository, please use this identifier:
https://doi.org/10.15488/10223
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Abstract:
We review the construction of supersymmetric extension of the n-particle Euler-Calogero-Moser model within the Hamiltonian approach [1]. The main feature of the proposed supersymmetrization method is that it is automatically adapted for a model with an arbitrary even number of supersymmetries. It is shown that the number of fermions that must be used in this construction is 1/2N n(n+1). We demonstrate that the resulting supersymmetric system is dynamically invariant with respect to the superconformal group and give the explicit realization of its generators in terms of the conserved currents. For the simplest case of the supersymmetric n-particle Euler-Calogero-Moser model we provide its description in superspace by using the corresponding constrained superfields. © 2019 Published under licence by IOP Publishing Ltd.
License of this version:
CC BY 3.0 Unported -
https://creativecommons.org/licenses/by/3.0/
Publication type:
Article
Publishing status:
publishedVersion
Publication date:
2019
Keywords english:
Group theory
,
Hamiltonian approach
,
Superspace
,
Supersymmetric extensions
,
Supersymmetries
,
Supersymmetry
DDC:
530 | Physik
Controlled keywords(GND):
Konferenzschrift
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