Extended supersymmetry and its reduction on a circle with point singularities

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.

36 pages, 5 figures, 2 tables

References in corpus (4)

• Higgsless fermion masses and unitarity
• 6D Higgsless Standard Model
• Self-adjoint extensions and SUSY breaking in Supersymmetric Quantum Mechanics
• Higgsless Gauge Symmetry Breaking with a Large Mass Hierarchy

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