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

Abstract

We present a very simple form of the supercharges and the Hamiltonian of $\mathcal{N}=2$ 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.

12 pages, prepared according to PoS rules as a contribution to RDP Online Workshop on Mathematical Physics, 5-6 December 2020, includes pos.sty and PoSlogo.pdf