English

A Novel Multi-parameter Family of Quantum Systems with Partially Broken N-fold Supersymmetry

High Energy Physics - Theory 2007-05-23 v2 Mathematical Physics math.MP Exactly Solvable and Integrable Systems

Abstract

We develop a systematic algorithm for constructing an N-fold supersymmetric system from a given vector space invariant under one of the supercharges. Applying this algorithm to spaces of monomials, we construct a new multi-parameter family of N-fold supersymmetric models, which shall be referred to as "type C". We investigate various aspects of these type C models in detail. It turns out that in certain cases these systems exhibit a novel phenomenon, namely, partial breaking of N-fold supersymmetry.

Keywords

Cite

@article{arxiv.hep-th/0405079,
  title  = {A Novel Multi-parameter Family of Quantum Systems with Partially Broken N-fold Supersymmetry},
  author = {Artemio Gonzalez-Lopez and Toshiaki Tanaka},
  journal= {arXiv preprint arXiv:hep-th/0405079},
  year   = {2007}
}

Comments

RevTeX 4, 28 pages, no figures