Supersymmetrization of the 3-particle elliptic Calogero model

Sergey Fedoruk

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arXiv · 2212.03528

Supersymmetrization of the 3-particle elliptic Calogero model

Sergey Fedoruk

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Abstract

$\mathcal{N}{=}\,2$ and $\mathcal{N}{=}\,4$ supersymmetric generalizations of the 3-particle elliptic Calogero system are proposed. Supersymmetry generators of the system are found in which the center of mass sector is described by the supermultiplet ${\bf (1,\mathcal{N},\mathcal{N}-1)}$, while the sector of relative coordinates is the supermultiplet ${\bf (2,\mathcal{N},\mathcal{N}- 2)}$. The $\mathcal{N}{=}\,2$ model described with three supermultiplets ${\bf (1,2,1)}$ is also presented.

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Sergey Fedoruk. 2022-12-07. Supersymmetrization of the 3-particle elliptic Calogero model. https://arxiv.org/abs/2212.03528

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