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A novel multi-parameter family of quantum systems with partially broken N-fold supersymmetry

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González López, Artemio and Tanaka, Toshiaki (2005) A novel multi-parameter family of quantum systems with partially broken N-fold supersymmetry. Journal of physics A: Mathematical and general, 38 (23). pp. 5133-5157. ISSN 0305-4470

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Official URL: http://dx.doi.org/10.1088/0305-4470/38/23/005




Abstract

We develop a systematic algorithm for constructing an X-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 multiparameter family of Ar-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 M-fold supersymmetry.


Item Type:Article
Additional Information:

©IOP Publishing.
This work was partially supported by Spain’s DGI under grant no. BFM2002–02646 (AG-L), as well as by a Spanish Ministry of Education, Culture and Sports research fellowship (TT).

Uncontrolled Keywords:Orthogonal polynomials; Mechanics; Potentials; Operators
Subjects:Sciences > Physics > Physics-Mathematical models
Sciences > Physics > Mathematical physics
ID Code:32850
Deposited On:24 Aug 2015 11:26
Last Modified:10 Dec 2018 15:09

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