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

2007/01/31 by Michele Arzano, Antonino Marcianò, Antonino Marciano · 2 citations
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Black Holes and Theoretical Physics #Noncommutative and Quantum Gravity Theories #gr-qc #hep-th

paper · pdf · doi:10.1103/physrevd.75.081701

published as Phys.Rev.D75:081701,2007 · 12 pages, RevTex4; clarifying remarks added and incorrect statement rectified; typos corrected

arxiv created 2007/02/21 · openalex publication_date 2007/04/19 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 noncommuting 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 Agostini, Amelino-Camelia, Arzano, Marciano, and Tacchi [hep- th/0607221].

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