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

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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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2025 1

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  • Super-Hamiltonians for super-Macdonald polynomials hep-th · 2025-01-24 · conditional · none · ref 32 · internal anchor

    Explicit vertex-operator super-Hamiltonians are conjectured whose eigenfunctions are the super-Macdonald polynomials of earlier work.