Supersymmetry in quantum mechanics with point interactions

Details Supersymmetry in quantum mechanics with point interactions Supersymmetry in quantum mechanics with point interactions

2002-12-17

arxiv.org/abs/hep-th/0212192v4

Phys.Lett. B562 (2003) 358-364

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, no figures. Some sections are improved and new references are added

Scientific paper

10.1016/S0370-2693(03)00575-6

We investigate supersymmetry in one-dimensional quantum mechanics with point interactions. We clarify a class of point interactions compatible with supersymmetry and present N=2 supersymmetric models on a circle with two point interactions as well as a superpotential. A hidden su(2) structure inherent in the system plays a crucial role to construct the N=2 supercharges. Spontaneous breaking of supersymmetry due to point interactions and an extension to higher N-extended supersymmetry are also discussed.

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