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arXiv · 2103.02925

New approach to ${\cal N} {=}2$ supersymmetric Ruijsenaars-Schneider model

Nikolay Kozyrev·Sergey Krivonos·Olaf Lechtenfeld
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Abstract

We present a very simple form of the supercharges and the Hamiltonian of ${\cal N} {=}\,2$ supersymmetric extension of $n$-particle Ruijsenaars--Schneider models for three cases of the interaction: $1/(x_i-x_j)$, $1/tan(x_i-x_j)$, $1/tanh(x_i-x_j)$. The long "fermionic tails" of the supercharges and Hamiltonian rolled up in the simple rational functions depending on fermionic bilinears.

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Nikolay Kozyrev, Sergey Krivonos, Olaf Lechtenfeld. 2021-03-04. New approach to ${\cal N} {=}2$ supersymmetric Ruijsenaars-Schneider model. https://arxiv.org/abs/2103.02925

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