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Supersymmetry and discrete transformations on S^1 with point singularities

Tomoaki Nagasawa·Makoto Sakamoto·Kazunori Takenaga
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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.

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Tomoaki Nagasawa, Makoto Sakamoto, Kazunori Takenaga. 2003-12-23. Supersymmetry and discrete transformations on S^1 with point singularities. https://doi.org/10.1016/j.physletb.2003.12.065

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