Nilpotent Marsh and SUSY QM

Details Nilpotent Marsh and SUSY QM Nilpotent Marsh and SUSY QM

1998-09-14

arxiv.org/abs/hep-th/9809089v3

Physics

High Energy Physics

High Energy Physics - Theory

8 pages, Latex 2.09. Talk given at the conference in memory of V.I. Ogievetski, Dubna, July, 1997. To be published in the Proc

Scientific paper

10.1007/BFb0104604

We consider the nilpotent additions to classical trajectories in supersymmetric and nonsupersymmetric theories. The condition of anilpotence of action on some generalized solutions leads to the Witten supersymmetric Lagrangian. The condition of anilpotence of topological charge is the same as one of superpotential with spontaneous broken supersymmetry. We should vanish half of Grassmann constants of integration, because in this case only we obtain the same number of normalized bosonic and fermionic zero modes.

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