(Super)conformal many-body quantum mechanics with extended supersymmetry
TLDR
In this article, a conformal N=4 extension of AM−1 Calogero models is presented, which for generic values of the coupling constant are not SU(1, 1|2) superconformal.Abstract:
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 AM−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) Lagrangian formulations. In the latter case, we use both component and N=4 superfield formulations.read more
Citations
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N=4 Supersymmetric Mechanics in Harmonic Superspace
Evgeny Ivanov,Olaf Lechtenfeld +1 more
TL;DR: In this paper, the authors defined N = 4, d = 1 harmonic superspace HR1+2|4 with an SU(2)/U(1) harmonic part, SU (2) being one of two factors of the R-symmetry group SU( 2) × SU((2) of N = 3,d = 1 Poincare supersymmetry.
Journal ArticleDOI
Superconformal mechanics
TL;DR: In this article, the salient features and problems of conformal and superconformal mechanics are surveyed and some of its developments over the past decade are discussed, both classical and quantum issues of single and multiparticle systems are covered.
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Supersymmetric Calogero–Moser–Sutherland models and Jack superpolynomials
TL;DR: In this article, a supersymmetric extension of the trigonometric Calogero-Moser-Sutherland (CMS) model is presented, which decomposes triangularly in terms of the symmetric monomial superfunctions.
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Superconformal Multi-Black Hole Moduli Spaces in Four Dimensions
TL;DR: In this paper, a near-horizon limit is found in which the quantum mechanics of widely separated black holes decouples from that of strongly-interacting, near-coincident black holes.
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Conformal and Superconformal Mechanics
TL;DR: The conformal and superconformal properties of a non-relativistic spinning particle propagating in a curved background coupled to a magnetic field and with a scalar potential were investigated in this paper.
References
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Solution of a three-body problem in one-dimension
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