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

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arxiv hep-th/0701268 v2 pith:6DZMZ4DS submitted 2007-01-29 hep-th gr-qc

Michele Arzano , Antonino Marciano This is my paper · ORCID
classification hep-thgr-qc
keywords chargesnoetherspace-timesymmetriesalgebraanalysesapproachbeen
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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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  1. \kappa-deformed spin-1/2 field

    hep-th 2025-07 conditional novelty 5.0 of 10

    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.

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