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arXiv · 1001.2659

N=4 Supersymmetry and the BPST Instanton

Sergey Krivonos·Olaf Lechtenfeld·Anton Sutulin
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Abstract

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.

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Sergey Krivonos, Olaf Lechtenfeld, Anton Sutulin. 2010-01-15. N=4 Supersymmetry and the BPST Instanton. https://doi.org/10.1103/physrevd.81.085021

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