Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1854914 | Annals of Physics | 2010 | 29 Pages |
Abstract
We continue the previous study on the existence of different intermediate Hamiltonians in type A NN-fold supersymmetric systems and carry out an exhaustive investigation on the NN = 3 case. In contrast with the NN = 2 case, we find various patterns in the existence of intermediate Hamiltonians due to the presence of two different intermediate positions in a factorized type A 3-fold supercharge. In addition, all the NN = 3 models are strictly restricted to at most elliptic type, which enables us to make the complete classification of the systems which admit intermediate Hamiltonians. Finally, we show realizations of third-order parasupersymmetry and variant generalized 3-fold superalgebras by such systems.
Related Topics
Physical Sciences and Engineering
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Physics and Astronomy (General)
Authors
Bijan Bagchi, Toshiaki Tanaka,