Z<sub>2</sub><sup>3</sup>-Graded Extensions of Lie Superalgebras and Superconformal Quantum Mechanics
نویسندگان
چکیده
Quantum mechanical systems whose symmetry is given by $\mathbb{Z}_2^3$-graded version of superconformal algebra are introduced. This done finding a realization Lie superalgebra in terms standard and the Clifford algebra. The allows us to map many models quantum mechanics (SCQM) their extensions. It observed that for simplest SCQM with $\mathfrak{osp}(1|2)$ there exist two inequivalent Applying prescription conformal mechanics, spectrum SCQMs analyzed. shown can be extended $\mathbb{Z}_2^n$-graded setting.
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ژورنال
عنوان ژورنال: Symmetry Integrability and Geometry-methods and Applications
سال: 2021
ISSN: ['1815-0659']
DOI: https://doi.org/10.3842/sigma.2021.071