English

Supersymmetry in quantum mechanics with point interactions

High Energy Physics - Theory 2014-11-18 v4 Quantum Physics

Abstract

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.

Keywords

Cite

@article{arxiv.hep-th/0212192,
  title  = {Supersymmetry in quantum mechanics with point interactions},
  author = {Tomoaki Nagasawa and Makoto Sakamoto and Kazunori Takenaga},
  journal= {arXiv preprint arXiv:hep-th/0212192},
  year   = {2014}
}

Comments

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

R2 v1 2026-07-22T15:14:48.293Z