Abstract
New models of the SU(2|1) supersymmetric mechanics based on gauging the systems with dynamical (1,4,3) and semi-dynamical (4,4,0) supermultiplets are presented. We propose a new version of SU(2|1) harmonic superspace approach which makes it possible to construct the Wess-Zumino term for interacting (4,4,0) multiplets. A new N=4 extension of d=1 Calogero-Moser multiparticle system is obtained by gauging the U(n) isometry of matrix SU(2|1) harmonic superfield model.
Highlights
The su(2|1) superalgebra has the automorphism group SU(2)ext with the generators Tji = (Tik)† which rotate the supercharges in the precisely same manner as the internal SU(2)int generators Iji do: Tji, Qk
We propose a new version of SU(2|1) harmonic superspace approach which makes it possible to construct the Wess-Zumino term for interacting (4, 4, 0) multiplets
We proposed new models of SU(2|1) supersymmetric quantum mechanics as a deformation of the corresponding “flat” N = 4, d = 1 supersymmetric models
Summary
Making use of the component form of these actions defined in (3.12) and (3.27), eliminating the auxiliary fields φ, φ, φ, φ, N ik from this sum by their algebraic equations of motion. We require local invariance of this action, with the parameter in (4.1) being promoted to an analytic superfield λ = λ(ζA) satisfying the conditions. To secure this local symmetry in the considered system we introduce the Grassmanneven analytic gauge superfield V ++, which satisfies the conditions. The last term in the bosonic action (4.16) produces first class constraint zkzk − c ≈ 0 restricting the quantum spectrum to a single supermultiplet
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