Second Hopf map and supersymmetric mechanics with Yang monopole

Abstract

We propose to use the second Hopf map for the reduction (via SU(2) group action) of the eight-dimensional N=8 supersymmetric mechanics to five-dimensional supersymmetric systems specified by the presence of an SU(2) Yang monopole. For our purpose we develop the relevant Lagrangian reduction procedure. The reduced system is characterized by its invariance under the N=5 or N=4 supersymmetry generators (with or without an additional conserved BRST charge operator) which commute with the su(2) generators.

Final version. To appear in Phys. Rev. D

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• Biharmonic Superspace for N=4 Mechanics
• Second Hopf map and Yang-Coulomb system on 5d (pseudo)sphere
• SU(2) reduction in N=4 supersymmetric mechanics
• On non-minimal N=4 supermultiplets in 1D and their associated sigma-models
• N=4, 3D Supersymmetric Quantum Mechanics in Non-Abelian Monopole Background
• Three dimensional N=4 supersymmetric mechanics with Wu-Yang monopole
• Graded Hopf Maps and Fuzzy Superspheres
• N=4 Supersymmetry and the BPST Instanton
• The Split-Algebras and Non-compact Hopf Maps
• Dynamical supersymmetry of spin particle-magnetic field interaction
• Supersymmetric Extension of Hopf Maps: N=4 sigma-models and the S^3 -> S^2 Fibration
• Hopf maps and Wigner's little groups
• Harmonic Superfields in N=4 Supersymmetric Quantum Mechanics
• Note on $\mathcal{N}=8$ supersymmetric mechanics with dynamical and semi-dynamical multiplets
• N=8 superconformal mechanics: direct construction
• SU(2) reductions in N=4 multidimensional supersymmetric mechanics
• N=4, d=1 Supersymmetric Hyper-Kaehler Sigma Models with Isospin Variables
• Reductions related with Hopf maps