N= 4 supersymmetric U(2)-spin hyperbolic Calogero-Sutherland model

2020/07/21 by Sergey Fedoruk, Fedoruk, Sergey
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #hep-th

paper · pdf · doi:10.48550/arxiv.2007.11424

1+15 pages; v2: comparison of N=2 and N=4 cases added

openalex publication_date 2020/07/21 · arxiv created 2020/08/03 · arxiv updated 2020/08/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The N= 4 supersymmetric U(2)-spin hyperbolic Calogero-Sutherland model with odd matrix fields is examined. Explicit form of the N= 4 supersymmetry generators is derived. The Lax representation for the dynamics of the N= 4 hyperbolic U(2)-spin Calogero-Sutherland system is found. The reduction to the N= 4 supersymmetric spinless hyperbolic Calogero-Sutherland system is established.

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