Supersymmetry and discrete transformations on S^1 with point singularities

Details Supersymmetry and discrete transformations on S^1 with point singularities Supersymmetry and discrete transformations on S^1 with point singularities

2003-11-05

arxiv.org/abs/hep-th/0311043v3

Phys.Lett. B583 (2004) 357-363

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, 3 figures

Scientific paper

10.1016/j.physletb.2003.12.065

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.

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