SU(2) reduction in N=4 supersymmetric mechanics

Abstract

We perform an su(2) Hamiltonian reduction of the general su(2)-invariant action for a self-coupled (4,4,0) supermultiplet. As a result, we elegantly recover the N=4 supersymmetric mechanics with spin degrees of freedom which was recently constructed in arXiv:0812.4276. This observation underscores the exceptional role played by the ``root'' supermultiplet in N=4 supersymmetric mechanics.

1+3 pages

References in corpus (7)

• Supersymmetric Calogero models by gauging
• Gauging N=4 supersymmetric mechanics II: (1,4,3) models from the (4,4,0) ones
• Potentials in N=4 superconformal mechanics
• New Model of N=8 Superconformal Mechanics
• Second Hopf map and supersymmetric mechanics with Yang monopole
• The Common Origin of Linear and Nonlinear Chiral Multiplets in N=4 Mechanics
• Superfield Formulation of Nonlinear N=4 Supermultiplets

Cited by in corpus (14)

• Superconformal mechanics
• New D(2,1;alpha) Mechanics with Spin Variables
• Ground-state isolation and discrete flows in a rationally extended quantum harmonic oscillator
• Three dimensional N=4 supersymmetric mechanics with Wu-Yang monopole
• N=4 Supersymmetry and the BPST Instanton
• Dynamical supersymmetry of spin particle-magnetic field interaction
• Supersymmetric Extension of Hopf Maps: N=4 sigma-models and the S^3 -> S^2 Fibration
• CP(n) supersymmetric mechanics in U(n) background gauge fields
• New Super Calogero Models and OSp(4|2) Superconformal Mechanics
• Hidden symmetries of deformed oscillators
• N=4, d=1 Supersymmetric Hyper-Kaehler Sigma Models with Isospin Variables
• SU(2) reductions in N=4 multidimensional supersymmetric mechanics
• $\mathcal{N}=4$ supersymmetric $\mathrm{U}(2)$-spin hyperbolic Calogero-Sutherland model
• Superintegrable deformations of oscillator and Coulomb systems