2022/12/07 by Sergey Fedoruk, Fedoruk, Sergey
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Nonlinear Waves and Solitons
paper · pdf · doi:10.48550/arxiv.2212.03528
openalex publication_date 2022/12/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
N= 2 and N= 4 supersymmetric generalizations of the 3-particle elliptic Calogero system are proposed. Supersymmetry generators of the system are found in which the center of mass sector is described by the supermultiplet \bf (1,N,N-1), while the sector of relative coordinates is the supermultiplet \bf (2,N,N- 2). The N= 2 model described with three supermultiplets \bf (1,2,1) is also presented.