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Phys. Rev. D 75, 081701(R) (2007) [5 pages]

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

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Michele Arzano*
Perimeter Institute for Theoretical Physics, 31 Caroline St. N, N2L 2Y5, Waterloo, Ontatio, Canada

Antonino Marcianò
Università degi Studi di Roma “La Sapienza”, Dipartimento di Fisica, P. le A. Moro 2, 00185 Roma, Italy

Received 21 February 2007; published 19 April 2007

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].

© 2007 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.75.081701
DOI:
10.1103/PhysRevD.75.081701
PACS:
11.10.Nx, 11.30.−j, 11.30.Cp

*Electronic address: marzano@perimeterinstitute.ca

Electronic address: antonino.marciano@roma1.infn.it