Canonical and Lie-algebraic twist deformations of $\kappa$-Poincare and contractions to $\kappa$-Galilei algebras

TL;DR

This paper introduces new twist deformations of the $$-deformed Poincare algebra, deriving associated quantum groups and exploring their nonrelativistic limits to Galilean algebras, expanding the understanding of quantum spacetime symmetries.

Contribution

It presents canonical and Lie-algebraic twist deformations of the $$-Poincare algebra and analyzes their contraction to Galilean algebras, providing new insights into quantum symmetries.

Findings

Derived generalized $$-Minkowski space-time relations.

Calculated deformed $$-Poincare quantum groups.

Performed contraction to twisted Galilean algebras.

Abstract

We propose canonical and Lie-algebraic twist deformations of $\kappa$-deformed Poincare Hopf algebra which leads to the generalized $\kappa$-Minkowski space-time relations. The corresponding deformed $\kappa$-Poincare quantum groups are also calculated. Finally, we perform the nonrelativistic contraction limit to the corresponding twisted Galilean algebras and dual Galilean quantum groups.