Many-Body Superconformal Systems from Hamiltonian Reductions

Abstract

We propose a new reduction mechanism which allows one to construct n-particle (super)conformal theories with pairwise interaction starting from a composite system involving n(n-1)/2+1 copies of the ordinary (super)conformal mechanics. Applications of the scheme include an N=4 superconformal extension for a complexification of the Calogero model and a D(2,1|α)-invariant n-particle system.

12 pages, no figures. v2: Title changed. New material and acknowledgements added

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Cited by in corpus (27)

• N=4 Supersymmetric Mechanics in Harmonic Superspace
• Supersymmetric Calogero models by gauging
• Superconformal mechanics
• ABC of N=8, d=1 supermultiplets
• N=4 superconformal Calogero models
• Hierarchy of N=8 Mechanics Models
• N=8 superconformal mechanics
• Calogero models and nonlocal conformal transformations
• N=4 mechanics, WDVV equations and roots
• New insight into WDVV equation
• Many-particle mechanics with D(2,1;alpha) superconformal symmetry
• Superconformal mechanics and nonlinear supersymmetry
• D-module Representations of N=2,4,8 Superconformal Algebras and Their Superconformal Mechanics
• N=4 superconformal n-particle mechanics via superspace
• Interaction via reduction and nonlinear superconformal symmetry
• Harmonic N=2 Mechanics
• Extended supersymmetric Calogero model
• N=4 Multi-Particle Mechanics, WDVV Equation and Roots
• Nonlinear symmetries of perfectly invisible $PT$-regularized conformal and superconformal mechanics systems
• Superconformal Quantum Mechanics from M2-branes
• Supersymmetric Many-particle Quantum Systems with Inverse-square Interactions
• $\mathcal{N}=2$ supersymmetric hyperbolic Calogero-Sutherland model
• Dual multiplets in N=4 superconformal mechanics
• New Super Calogero Models and OSp(4|2) Superconformal Mechanics
• N=4 superconformal mechanics in the pp-wave limit
• $\mathcal{N}=4$ supersymmetric $\mathrm{U}(2)$-spin hyperbolic Calogero-Sutherland model
• Conformal mechanical treatment of Calogero-Moser model and infinite dimensional Lie algebra of conformal Galilei type