$\kappa$-Minkowski space, scalar field, and the issue of Lorentz invariance

TL;DR

This paper explores the structure of $$-Minkowski space, its symmetries, and develops a free scalar field theory framework, addressing the challenges of Lorentz invariance in noncommutative geometry.

Contribution

It provides a group-theoretical analysis of $$-Minkowski space and constructs a free scalar field theory with associated deformed symmetry charges.

Findings

Group-theoretical description of $$-Minkowski space

Analysis of deformed spacetime symmetries

Explicit calculation of Noether charges for free fields

Abstract

We describe $\kappa$-Minkowski space and its relation to group theory. The group theoretical picture makes it possible to analyze the symmetries of this space. As an application of this analysis we analyze in detail free field theory on $\kappa$-Minkowski space and the Noether charges associated with deformed spacetime symmetries.