N=8 Supersymmetric Quaternionic Mechanics

Details N=8 Supersymmetric Quaternionic Mechanics N=8 Supersymmetric Quaternionic Mechanics

2004-10-28

arxiv.org/abs/hep-th/0410276v2

Phys.Lett. B605 (2005) 406-412

Physics

High Energy Physics

High Energy Physics - Theory

Both ref. [14] and acknowledgements updated

Scientific paper

10.1016/j.physletb.2004.11.058

We construct N=8 supersymmetric mechanics with four bosonic end eight fermionic physical degrees of freedom. Starting from the most general N=4 superspace action in harmonic superspace for the ({\bf 4,8,4}) supermultiplet we find conditions which make it N=8 invariant. We introduce in the action Fayet-Iliopoulos terms which give rise to potential terms. We present the action in components and give explicit expressions for the Hamiltonian and Poisson brackets. Finally we discuss the possibility of N=9 supersymmetric mechanics.

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