N=4, 3D Supersymmetric Quantum Mechanics in Non-Abelian Monopole Background

Abstract

Using the harmonic superspace approach, we construct the three-dimensional N=4 supersymmetric quantum mechanics of the supermultiplet (3,4,1) coupled to an external SU(2) gauge field. The off-shell N=4 supersymmetry requires the gauge field to be a static form of the 't Hooft ansatz for the 4D self-dual SU(2) gauge fields, that is a particular solution of Bogomolny equations for BPS monopoles. We present the explicit form of the corresponding superfield and component actions, as well as of the quantum Hamiltonian and N=4 supercharges. The latter can be used to describe a more general N=4 mechanics system, with an arbitrary BPS monopole background and on-shell N=4 supersymmetry. The essential feature of our construction is the use of semi-dynamical spin (4,4,0) multiplet with the Wess-Zumino type action.

arXiv comment16 pages, reference added, published version

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Cited by in corpus (11)

• N = 4 mechanics of general (4, 4, 0) multiplets
• Hopf Maps, Lowest Landau Level, and Fuzzy Spheres
• SU(2|2) supersymmetric mechanics
• Graded Hopf Maps and Fuzzy Superspheres
• Harmonic Superfields in N=4 Supersymmetric Quantum Mechanics
• N=8 superconformal mechanics: direct construction
• CP(n) supersymmetric mechanics in U(n) background gauge fields
• SU(2) reductions in N=4 multidimensional supersymmetric mechanics
• The N = 1 Supersymmetric Wong Equations and the Non-Abelian Landau Problem
• N=4, d=1 Supersymmetric Hyper-Kaehler Sigma Models with Isospin Variables
• Connection Constraints from Non-Abelian Supersymmetric Quantum Mechanics