PoS - Proceedings of Science
Volume 394 - RDP online workshop "Recent Advances in Mathematical Physics" (Regio2020) - Session 6
New approach to ${\cal N}{=}\,2$ supersymmetric Ruijsenaars–Schneider model
N. Kozyrev,* O. Lechtenfeld, S. Krivonos
*corresponding author
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Published on: April 23, 2021
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.
DOI: https://doi.org/10.22323/1.394.0018
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