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Extended supersymmetry and its reduction on a circle 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 $n$, $N=2n+1$ supercharges are explicitly constructed in terms of discrete transformations, and a class of singularities compatible with supersymmetry is clarified. In our formulation, the supersymmetry can be reduced to $M$-extended supersymmetry for any integer $M<N$. The degeneracy of the spectrum and spontaneous supersymmetry breaking are also studied.

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Tomoaki Nagasawa, Makoto Sakamoto, Kazunori Takenaga. 2005-08-03. Extended supersymmetry and its reduction on a circle with point singularities. https://doi.org/10.1088/0305-4470%2F38%2F37%2F009

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