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arXiv · 1006.0376

SU(2) reductions in N=4 multidimensional supersymmetric mechanics

Stefano Bellucci·Sergey Krivonos·Anton Sutulin
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Abstract

We perform an su(2) Hamiltonian reduction in the bosonic sector of the su(2)-invariant action for two free (4, 4, 0) supermultiplets. As a result, we get the five dimensional N=4 supersymmetric mechanics describing the motion of an isospin carrying particle interacting with a Yang monopole. We provide the Lagrangian and Hamiltonian descriptions of this system. Some possible generalizations of the action to the cases of systems with a more general bosonic action, a four-dimensional system which still includes eight fermionic components, and a variant of five-dimensional N=4 mechanics constructed with the help of the ordinary and twisted N=4 hypermultiplets were also considered.

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Stefano Bellucci, Sergey Krivonos, Anton Sutulin. 2010-06-02. SU(2) reductions in N=4 multidimensional supersymmetric mechanics. https://doi.org/10.1088/1751-8113/45/12/125402

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