N -extension of double-graded supersymmetric and superconformal quantum mechanics
N Aizawa, K Amakawa, S Doi
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Source: Crossref
Published: Jan 21, 2020
DOI: 10.1088/1751-8121/ab661c
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Abstract In the recent paper (Bruce and Duplij 2019 (arXiv:1904.06975 [math-ph])), Bruce and Duplij introduced a double-graded version of supersymmetric quantum mechanics (SQM). It is an extension of Lie superalgebraic nature of SQM to a -graded superalgebra. In this work, we propose an extension of Bruce–Duplij model to higher values of . Furthermore, it is shown that our construction of double-graded SQM is a special case of the method which converts a given Lie superalgebra to a -graded superalgebra. By employing this method one may convert a model of superconformal mechanics to its double-graded version. The simplest example of double-graded superconformal mechanics is studied in some detail.
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