ℤ³₂-Graded Extensions of Lie Superalgebras and Superconformal Quantum Mechanics

Quantum mechanical systems whose symmetry is given by the ℤ³₂-graded version of superconformal algebra are introduced. This is done by finding a realization of a ℤ³₂-graded Lie superalgebra in terms of a standard Lie superalgebra and the Clifford algebra. The realization allows us to map many models...

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Published in:Symmetry, Integrability and Geometry: Methods and Applications
Date:2021
Main Authors: Doi, Shunya, Aizawa, Naruhiko
Format: Article
Language:English
Published: Інститут математики НАН України 2021
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/211352
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:ℤ³₂-Graded Extensions of Lie Superalgebras and Superconformal Quantum Mechanics. Shunya Doi and Naruhiko Aizawa. SIGMA 17 (2021), 071, 14 pages

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Digital Library of Periodicals of National Academy of Sciences of Ukraine