N-extension of double-graded supersymmetric and superconformal quantum mechanics

被引：29

作者：

Aizawa, N. ^{[1
]}

Amakawa, K. ^{[1
]}

Doi, S. ^{[1
]}

机构：

[1] Osaka Prefecture Univ, Dept Phys Sci, Nakamozu Campus, Sakai, Osaka 5998531, Japan

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2020年 / 53卷 / 06期

关键词：

supersymmetric quantum mechanics; color superalgebra; conformal mechanics; ALGEBRAS; GEOMETRY; SITTER;

D O I：

10.1088/1751-8121/ab661c

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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.

引用

页数：14

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