Twisted acceleration-enlarged Newton-Hooke space-times and breaking classical symmetry phenomena

TL;DR

This paper investigates the symmetry properties of twisted acceleration-enlarged Newton-Hooke space-times and related quantum groups, identifying covariant subgroups and exploring classical symmetry breaking phenomena.

Contribution

It identifies covariant subgroups of the twisted acceleration-enlarged Newton-Hooke Hopf algebra and examines symmetry breaking in these noncommutative space-times.

Findings

Covariant subgroups of the twisted algebra are characterized.

Classical symmetry breaking phenomena are analyzed.

Connections to acceleration-enlarged Galilei quantum groups are explored.

Abstract

We find the subgroup of classical acceleration-enlarged Newton-Hooke Hopf algebra which acts covariantly on the twisted acceleration-enlarged Newton-Hooke space-times. The case of classical acceleration-enlarged Galilei quantum group is considered as well.