Symplectic geometry and Noether charges for Hopf algebra space-time symmetries

TL;DR

This paper develops a coordinate-independent symplectic geometry approach to derive Noether charges for Hopf-algebra space-time symmetries, providing a more robust framework consistent with previous results.

Contribution

It introduces a novel symplectic-geometry method to compute Noether charges in Hopf-algebra symmetric spaces, avoiding complex field manipulations.

Findings

Derived Noether charges using a coordinate-independent approach

Results align with previous coordinate-dependent methods

Enhanced robustness of charge derivation in non-commutative geometry

Abstract

There has been a certain interest in some recent works in the derivation of Noether charges for Hopf-algebra space-time symmetries. Such analyses relied rather heavily on delicate manipulations of the fields of non-commuting coordinates whose charges were under study. Here we derive the same charges in a "coordinate-independent" symplectic-geometry type of approach and find results that are consistent with the ones of hep-th/0607221.