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(Super)conformal many-body quantum mechanics with extended supersymmetry

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arxiv hep-th/9910160 v4 pith:MIYIWN2E submitted 1999-10-20 hep-th

Niclas Wyllard This is my paper · ORCID
classification hep-th
keywords conformalextendedformulationsmany-bodymodelssuperconformalarbitrarybosonic
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We study N=4 supersymmetric quantum-mechanical many-body systems with M bosonic and 4M fermionic degrees of freedom. We also investigate the further restrictions of conformal and superconformal invariance. In particular, we construct conformal N=4 extensions of the A_{M-1} Calogero models, which for generic values of the coupling constant are not SU(1,1|2) superconformal. This class of models is also extended to arbitrary (even) N. We give both hamiltonian and (classical) lagrangean formulations. In the latter case we use both component and N=4 superfield formulations.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. ${\cal N}{=}\,4$ supersymmetric multiparticle systems based on indecomposable multiplets

    hep-th 2026-07 unverdicted novelty 7.0 of 10

    Nonlinear indecomposable multiplets (1,4,3)⊃+(4,4,0) produce new N=4 supersymmetric deformations of U(2)-spin rational Calogero models invariant under OSp(4|2), plus a near-equivalent hyperbolic version.

  2. Geometry and integrability in $\mathcal{N}=8$ supersymmetric mechanics

    hep-th 2019-08 conditional novelty 6.0 of 10

    An N=8 supersymmetric mechanics with potential is built on rigid special Kähler manifolds, yielding bosonic Hamiltonians that include superintegrable deformations of the 2D oscillator and Coulomb problem.

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