Supersymmetry and discrete transformations on S^1 with point singularities
arXiv:hep-th/0311043 · doi:10.1016/j.physletb.2003.12.065
Abstract
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.
11 pages, 3 figures
References in corpus (9)
- Fermion-Boson Duality of One-dimensional Quantum Particles with Generalized Contact Interaction
- Symmetry, Duality and Anholonomy of Point Interactions in One Dimension
- Double Spiral Energy Surface in One-dimensional Quantum Mechanics of Generalized Pointlike Potentials
- Some properties of the one-dimensional generalized point interactions (a torso)
- Supersymmetry in quantum mechanics with point interactions
- Duality and Anholonomy in Quantum Mechanics of 1D Contact Interactions
- Spectral properties on a circle with a singularity
- Supersymmetric Quantum Mechanics with a Point Singularity
- Supersymmetric Quantum Mechanics under Point Singularities
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