Covariant formulation of Noether's Theorem for translations on kappa-Minkowski spacetime

Understand

The problem of finding a formulation of Noether's theorem in noncommutative geometry is very important in order to obtain conserved currents and charges for particles in noncommutative spacetimes.

• In this paper, we formulate Noether's theorem for translations of kappa-Minkowski noncommutative spacetime on the basis of the 5-dimensional kappa-Poincare' covariant differential calculus.
• We focus our analysis on the simple case of free scalar theory.
• We obtain five conserved Noether currents, which give rise to five energy-momentum charges.