Spinorial Snyder and Yang models from superalgebras and noncommutative quantum superspaces

The relativistic Lorentz-covariant quantum space-times obtained by Snyder can be described by the coset generators of (anti) de-Sitter algebras. Similarly, the Lorentz-covariant quantum phase spaces introduced by Yang, which contain additionally quantum curved fourmomenta and quantum-deformed relati...

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Autores principales:	Jerzy Lukierski, Mariusz Woronowicz
Formato:	article
Lenguaje:	EN
Publicado:	Elsevier 2022
Materias:	Physics QC1-999
Acceso en línea:	https://doaj.org/article/2b2541eda64246acbc964d2a810d52ea
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spelling	oai:doaj.org-article:2b2541eda64246acbc964d2a810d52ea2021-12-04T04:32:45ZSpinorial Snyder and Yang models from superalgebras and noncommutative quantum superspaces0370-269310.1016/j.physletb.2021.136783https://doaj.org/article/2b2541eda64246acbc964d2a810d52ea2022-01-01T00:00:00Zhttp://www.sciencedirect.com/science/article/pii/S0370269321007231https://doaj.org/toc/0370-2693The relativistic Lorentz-covariant quantum space-times obtained by Snyder can be described by the coset generators of (anti) de-Sitter algebras. Similarly, the Lorentz-covariant quantum phase spaces introduced by Yang, which contain additionally quantum curved fourmomenta and quantum-deformed relativistic Heisenberg algebra, can be defined by suitably chosen coset generators of conformal algebras. We extend such algebraic construction to the respective superalgebras, which provide quantum Lorentz-covariant superspaces (SUSY Snyder model) and indicate also how to obtain the quantum relativistic phase superspaces (SUSY Yang model). In last Section we recall briefly other ways of deriving quantum phase (super)spaces and we compare the spinorial Snyder type models defining bosonic or fermionic quantum-deformed spinors.Jerzy LukierskiMariusz WoronowiczElsevierarticlePhysicsQC1-999ENPhysics Letters B, Vol 824, Iss , Pp 136783- (2022)
institution	DOAJ
collection	DOAJ
language	EN
topic	Physics QC1-999
spellingShingle	Physics QC1-999 Jerzy Lukierski Mariusz Woronowicz Spinorial Snyder and Yang models from superalgebras and noncommutative quantum superspaces
description	The relativistic Lorentz-covariant quantum space-times obtained by Snyder can be described by the coset generators of (anti) de-Sitter algebras. Similarly, the Lorentz-covariant quantum phase spaces introduced by Yang, which contain additionally quantum curved fourmomenta and quantum-deformed relativistic Heisenberg algebra, can be defined by suitably chosen coset generators of conformal algebras. We extend such algebraic construction to the respective superalgebras, which provide quantum Lorentz-covariant superspaces (SUSY Snyder model) and indicate also how to obtain the quantum relativistic phase superspaces (SUSY Yang model). In last Section we recall briefly other ways of deriving quantum phase (super)spaces and we compare the spinorial Snyder type models defining bosonic or fermionic quantum-deformed spinors.
format	article
author	Jerzy Lukierski Mariusz Woronowicz
author_facet	Jerzy Lukierski Mariusz Woronowicz
author_sort	Jerzy Lukierski
title	Spinorial Snyder and Yang models from superalgebras and noncommutative quantum superspaces
title_short	Spinorial Snyder and Yang models from superalgebras and noncommutative quantum superspaces
title_full	Spinorial Snyder and Yang models from superalgebras and noncommutative quantum superspaces
title_fullStr	Spinorial Snyder and Yang models from superalgebras and noncommutative quantum superspaces
title_full_unstemmed	Spinorial Snyder and Yang models from superalgebras and noncommutative quantum superspaces
title_sort	spinorial snyder and yang models from superalgebras and noncommutative quantum superspaces
publisher	Elsevier
publishDate	2022
url	https://doaj.org/article/2b2541eda64246acbc964d2a810d52ea
work_keys_str_mv	AT jerzylukierski spinorialsnyderandyangmodelsfromsuperalgebrasandnoncommutativequantumsuperspaces AT mariuszworonowicz spinorialsnyderandyangmodelsfromsuperalgebrasandnoncommutativequantumsuperspaces
_version_	1718373020947447808

Spinorial Snyder and Yang models from superalgebras and noncommutative quantum superspaces

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