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

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

2010-04-26

arxiv.org/abs/1004.4597v3

Phys.Rev.D82:085014,2010

Physics

High Energy Physics

High Energy Physics - Theory

16 pages, reference added, published version

Scientific paper

10.1103/PhysRevD.82.085014

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.

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