New approach to cal N =2 supersymmetric Ruijsenaars-Schneider\n model

2021/03/04 by Nikolay Kozyrev, Kozyrev, Nikolay, Krivonos, Sergey +3
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.2103.02925

openalex publication_date 2021/03/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present a very simple form of the supercharges and the Hamiltonian of\n cal N = ,2 supersymmetric extension of n-particle\nRuijsenaars--Schneider models for three cases of the interaction:\n1/(x_i-x_j), 1/tan(x_i-x_j), 1/tanh(x_i-x_j). The long "fermionic tails"\nof the supercharges and Hamiltonian rolled up in the simple rational functions\ndepending on fermionic bilinears.\n

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