Twisted acceleration-enlarged Newton-Hooke Hopf algebras

TL;DR

This paper explores ten Abelian twist deformations of acceleration-enlarged Newton-Hooke Hopf algebras, deriving associated quantum space-times and their contraction limits to new twisted Galilei spaces, advancing understanding of quantum symmetries.

Contribution

It introduces ten new Abelian twist deformations of acceleration-enlarged Newton-Hooke Hopf algebras and derives their quantum space-times, including contraction limits to twisted Galilei spaces.

Findings

Derived ten new quantum space-times from Abelian twist deformations.

Showed contraction limit leads to twisted Galilei spaces.

Enhanced understanding of quantum deformations of Newton-Hooke symmetries.

Abstract

Ten Abelian twist deformations of acceleration-enlarged Newton-Hooke Hopf algebra are considered. The corresponding quantum space-times are derived as well. It is demonstrate that their contraction limit $\tau \to \infty$ leads to the new twisted acceleration-enlarged Galilei spaces.