2003/11/30 by Tomoaki Nagasawa, Makoto Sakamoto, Kazunori Takenaga · 1 citation
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Quantum Mechanics and Non-Hermitian Physics #Quantum chaos and dynamical systems #hep-th #quant-ph
paper · pdf · doi:10.1016/j.physletb.2003.12.065
published as Phys.Lett. B583 (2004) 357-363 · 11 pages, 3 figures
arxiv created 2003/12/23 · openalex publication_date 2004/01/30 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We investigate N-extended supersymmetry in one-dimensional quantum mechanics on a circle with point singularities. For any integer n, N=2n supercharges are explicitly constructed and a class of point singularities compatible with supersymmetry is clarified. Key ingredients in our construction are n sets of discrete transformations, each of which forms an su(2) algebra of spin 1/2. The degeneracy of the spectrum and spontaneous supersymmetry breaking are briefly discussed.