Supersymmetrization of the 3-particle elliptic Calogero model
Abstract
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 (1,N,N-1), while the sector of relative coordinates is the supermultiplet (2,N,N- 2). The N=\,2 model described with three supermultiplets (1,2,1) is also presented.
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