Nilpotent Marsh and SUSY QM
High Energy Physics - Theory
2009-10-31 v3
Abstract
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.
Keywords
Cite
@article{arxiv.hep-th/9809089,
title = {Nilpotent Marsh and SUSY QM},
author = {V. P. Akulov and Steven Duplij},
journal= {arXiv preprint arXiv:hep-th/9809089},
year = {2009}
}
Comments
8 pages, Latex 2.09. Talk given at the conference in memory of V.I. Ogievetski, Dubna, July, 1997. To be published in the Proceedings