N=4 Supersymmetry and the BPST Instanton
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.
Keywords
Cite
@article{arxiv.1001.2659,
title = {N=4 Supersymmetry and the BPST Instanton},
author = {Sergey Krivonos and Olaf Lechtenfeld and Anton Sutulin},
journal= {arXiv preprint arXiv:1001.2659},
year = {2010}
}
Comments
1+8 pages; v2: two references added, published version