Can I read Spinorial Snyder and Yang Models From Superalgebras And Noncommutative Quantum Superspaces on EtoBox?

Spinorial Snyder and Yang Models From Superalgebras And Noncommutative Quantum Superspaces by Lukierski, Jerzy; Woronowicz, Mariusz is a scholarly article available to read on EtoBox.

What is Spinorial Snyder and Yang Models From Superalgebras And Noncommutative Quantum Superspaces about?

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.

Author

Lukierski, Jerzy; Woronowicz, Mariusz

Published

2021

Language

EN