Supersymmetry and discrete transformations on S^1 with point singularities
High Energy Physics - Theory
2009-11-10 v3 Quantum Physics
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.
Keywords
Cite
@article{arxiv.hep-th/0311043,
title = {Supersymmetry and discrete transformations on S^1 with point singularities},
author = {Tomoaki Nagasawa and Makoto Sakamoto and Kazunori Takenaga},
journal= {arXiv preprint arXiv:hep-th/0311043},
year = {2009}
}
Comments
11 pages, 3 figures