A kappa-deformed Dirac action is constructed whose Noether charges close the standard Poincaré algebra, while charge conjugation symmetry is broken and CPT can only be restored by deforming time reversal.
Symplectic geometry and Noether charges for Hopf algebra space-time symmetries
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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.
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\kappa-deformed spin-1/2 field
A kappa-deformed Dirac action is constructed whose Noether charges close the standard Poincaré algebra, while charge conjugation symmetry is broken and CPT can only be restored by deforming time reversal.