We study the twisted Hopf-algebra symmetries of observer-independent canonical spacetime noncommutativity, for which the commutators of the spacetime coordinates take the form [(x) over cap (mu),(x) over cap (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.

Noether analysis of the twisted Hopf symmetries of canonical noncommutative spacetimes / AMELINO-CAMELIA, Giovanni; Briscese, Fabio; Gubitosi, Giulia; Marciano', Antonino; Martinetti, Pierre; Mercati, Flavio. - In: PHYSICAL REVIEW D, PARTICLES, FIELDS, GRAVITATION, AND COSMOLOGY. - ISSN 1550-7998. - 78:2(2008), pp. 025005-1-025005-9. [10.1103/physrevd.78.025005]

Noether analysis of the twisted Hopf symmetries of canonical noncommutative spacetimes

AMELINO-CAMELIA, Giovanni;BRISCESE, FABIO;GUBITOSI, Giulia;MARCIANO', ANTONINO;MARTINETTI, pierre;MERCATI, FLAVIO
2008

Abstract

We study the twisted Hopf-algebra symmetries of observer-independent canonical spacetime noncommutativity, for which the commutators of the spacetime coordinates take the form [(x) over cap (mu),(x) over cap (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.
2008
01 Pubblicazione su rivista::01a Articolo in rivista
Noether analysis of the twisted Hopf symmetries of canonical noncommutative spacetimes / AMELINO-CAMELIA, Giovanni; Briscese, Fabio; Gubitosi, Giulia; Marciano', Antonino; Martinetti, Pierre; Mercati, Flavio. - In: PHYSICAL REVIEW D, PARTICLES, FIELDS, GRAVITATION, AND COSMOLOGY. - ISSN 1550-7998. - 78:2(2008), pp. 025005-1-025005-9. [10.1103/physrevd.78.025005]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/362383
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