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2010

N=4 Supersymmetry and the BPST Instanton

Krivonos, Sergey, Lechtenfeld, Olaf, Sutulin, Anton

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In this paper we construct the Lagrangian and Hamiltonian formulations of N=4 supersymmetric systems describing the motion of an isospin particle on a conformally flat four-manifold with SO(4) isometry carrying the non-Abelian field of a BPST instanton.

The conformal factor can be specified to yield various particular systems, such as superconformally invariant mechanics as well as a particle on the four-sphere, the pseudosphere or on R x S^3.
The isospin degrees of freedom arise as bosonic components of an additional fermionic N=4 supermultiplet, whose other components are rendered auxiliary by a nonlocal redefinition.
Our on-shell component action coincides with the one recently proposed in arXiv:0912.3289.

N=4 Supersymmetry and the BPST Instanton · Around

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Then

S. Fedoruk, E. Ivanov, O. Lechtenfeld, Phys. Rev. D79 (2009) 105015, arXiv:0812.4276[hep-th]
Original
2009
Later among the works it cites.
M. Gonzales, Z. Kuznetsova, A. Nersessian, F. Toppan, V. Yeghikyan, Phys.Rev. D80 (2009) 025022, arXiv:0902.2682[hep-th]
Original
2009
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S. Bellucci, S. Krivonos, Phys. Rev. D80 (2009) 065022, arXiv:0905.4633[hep-th]
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2009
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S. Fedoruk, E. Ivanov, O. Lechtenfeld, JHEP 0908 (2009) 081, arXiv:0905.4951[hep-th]
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2009
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S. Krivonos, O. Lechtenfeld, Phys. Rev. D80 (2009) 045019, arXiv:0906.2469[hep-th]
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