Twisted Hopf symmetries of canonical noncommutative spacetimes and the no-pure-boost principle

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dc.creatorAmelino-Camelia, Giovanni
dc.creatorBriscese, Fabio
dc.creatorGubitosi, Giulia
dc.creatorMarciano, Antonino
dc.creatorMartinetti, Pierre
dc.creatorMercati, Flavio
dc.date2007-09-28
dc.date.accessioned2026-07-07T11:37:36Z
dc.date.available2026-07-07T11:37:36Z
dc.descriptionWe study the twisted-Hopf-algebra symmetries of observer-independent canonical spacetime noncommutativity, for which the commutators of the spacetime coordinates take the form [x^{mu},x^{nu}]=i theta^{mu nu} with observer-independent (and coordinate-independent) theta^{mu nu}. We find that it is necessary to introduce nontrivial commutators between transformation parameters and spacetime coordinates, and that the form of these commutators implies that all symmetry transformations must include a translation component. We show that with our noncommutative transformation parameters the Noether analysis of the symmetries is straightforward, and we compare our canonical-noncommutativity results with the structure of the conserved charges and the "no-pure-boost" requirement derived in a previous study of kappa-Minkowski noncommutativity. We also verify that, while at intermediate stages of the analysis we do find terms that depend on the ordering convention adopted in setting up the Weyl map, the final result for the conserved charges is reassuringly independent of the choice of Weyl map and (the corresponding choice of) star product.
dc.description12 pages
dc.identifierhttps://arxiv.org/abs/0709.4600
dc.identifierhttp://arxiv.org/abs/0709.4600
dc.identifierPhys.Rev.D78:025005,2008
dc.identifierdoi:10.1103/PhysRevD.78.025005
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/199262
dc.subjectHigh Energy Physics - Theory
dc.titleTwisted Hopf symmetries of canonical noncommutative spacetimes and the no-pure-boost principle
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