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arXiv · 1206.0175

Symmetries of N=4 supersymmetric CP(n) mechanics

S. Bellucci·N. Kozyrev·S. Krivonos·A. Sutulin
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Abstract

We explicitly constructed the generators of $SU(n+1)$ group which commute with the supercharges of N=4 supersymmetric $\mathbb{CP}^n$ mechanics in the background U(n) gauge fields. The corresponding Hamiltonian can be represented as a direct sum of two Casimir operators: one Casimir operator on $SU(n+1)$ group contains our bosonic and fermionic coordinates and momenta, while the second one, on the SU(1,n) group, is constructed from isospin degrees of freedom only.

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S. Bellucci, N. Kozyrev, S. Krivonos, A. Sutulin. 2012-06-01. Symmetries of N=4 supersymmetric CP(n) mechanics. https://doi.org/10.1088/1751-8113/46/27/275305

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