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Abstract <p>A possibility to reduce the problem of building an integrable supersymmetric extension of a given integrable model with <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(n\)</EquationSource> <!--PhysPNLt2570158Galajinsky-m1--> </InlineEquation> degrees of freedom to finding <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\(n\)</EquationSource> <!--PhysPNLt2570158Galajinsky-m2--> </InlineEquation> vectors, all scalar products of which link to <InlineEquation ID="IEq3"> <EquationSource Format="TEX">\(n\)</EquationSource> <!--PhysPNLt2570158Galajinsky-m3--> </InlineEquation> first integrals of the original bosonic system, is discussed on the example of the rational Ruijsenaars–Schneider model.</p>

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Supersymmetric Ruijsenaars–Schneider Models and Their Integrability

  • 期刊论文

  • 发表日期：

    2025年12月1日

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  • A. Galajinsky

摘要

Abstract

A possibility to reduce the problem of building an integrable supersymmetric extension of a given integrable model with \(n\) degrees of freedom to finding \(n\) vectors, all scalar products of which link to \(n\) first integrals of the original bosonic system, is discussed on the example of the rational Ruijsenaars–Schneider model.