Classification of Type A N-fold supersymmetry
Hideaki Aoyama, Noriko Nakayama, Masatoshi Sato, Toshiaki Tanaka
TL;DR
This paper introduces a systematic method for constructing Type A N-fold supersymmetric models in one-dimensional quantum mechanics using sl(2) algebra, enabling the generation of known and new models.
Contribution
It presents a general construction method for Type A N-fold supersymmetric models based on sl(2) generators, expanding the toolkit for quantum supersymmetry research.
Findings
Systematic generation of known models.
Construction of several new models.
Demonstration of the method's general applicability.
Abstract
Type A N-fold supersymmetry of one-dimensional quantum mechanics can be constructed by using sl(2) generators represented on a finite dimensional functional space. Using this sl(2) formalism we show a general method of constructing Type A N-fold supersymmetric models. We also present systematic generation of known models and several new models using this method.
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