Self-duality and supersymmetry

Details Self-duality and supersymmetry Self-duality and supersymmetry

2009-10-27

arxiv.org/abs/0910.5162v2

Phys.Lett.B689:95-100,2010

Physics

High Energy Physics

High Energy Physics - Theory

14 pages

Scientific paper

10.1016/j.physletb.2010.04.048

We observe that the Hamiltonian H = D^2, where D is the flat 4d Dirac operator in a self-dual gauge background, is supersymmetric, admitting 4 different real supercharges. A generalization of this model to the motion on a curved conformally flat 4d manifold exists. For an Abelian self-dual background, the corresponding Lagrangian can be derived from known harmonic superspace expressions.

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