论文标题

3粒子椭圆形Calogero模型的超对称性

Supersymmetrization of the 3-particle elliptic Calogero model

论文作者

Fedoruk, Sergey

论文摘要

$ \ Mathcal {n} {=} \,2 $和$ \ Mathcal {n} {=} \,4 $的3粒子椭圆形Calogero系统的超对称概括。发现系统的超对称发生器,其中大量部门的中心由supermultiplet $ {\ bf(1,\ Mathcal {n},\ Mathcal {n} -1)} $描述,而相对坐标的扇区是supermultiplet $ {\ bf(\ bf) 2)} $。还介绍了$ \ Mathcal {n} {=} \,2 $模型,其中还介绍了三个Supermultiplets $ {\ Bf(1,2,1)} $所描述的。

$\mathcal{N}{=}\,2$ 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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