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

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arxiv 2103.02925 v1 pith:S5FIJNVY submitted 2021-03-04 hep-th math-phmath.MP

Nikolay Kozyrev , Sergey Krivonos , Olaf Lechtenfeld This is my paper · ORCID
classification hep-thmath-phmath.MP
keywords fermionichamiltoniansimplesuperchargessupersymmetricapproachbilinearscases
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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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Cited by 1 Pith paper

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  1. Super-Hamiltonians for super-Macdonald polynomials

    hep-th 2025-01 conditional novelty 6.0 of 10

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

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