论文标题

在$ {\ cal n} {=} \,2 $ supersymmetric ruijsenaars-schneider模型

On ${\cal N}{=}\,2$ supersymmetric Ruijsenaars-Schneider models

论文作者

Krivonos, Sergey, Lechtenfeld, Olaf

论文摘要

我们构建了$ {\ cal n} {=} \,2 $ supersymmetric的扩展,$ n $ - 粒子ruijsenaars-schneider模型。引导特征是相空间的变形。增压器在费米子中具有线性的“自由”形式,但产生了相互作用的四边形哈密顿量。依赖田间的统一转换映射到标准费米斯遵守常规泊松支架。在此框架中,增压和哈密顿量具有长时间的“费米金尾巴”。我们还评论了以前在这个方向上的尝试。

We construct an ${\cal N}{=}\,2$ supersymmetric extension of $n$-particle Ruijsenaars-Schneider models. The guiding feature is a deformation of the phase space. The supercharges have a "free" form linear in the fermions but produce an interacting four-fermion Hamiltonian. A field-dependent unitary transformation maps to standard fermions obeying conventional Poisson brackets. In this frame, the supercharges and Hamiltonian have long "fermionic tails". We also comment on previous attempts in this direction.

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