Unification of kappa-Minkowski and extended Snyder spaces (CROSBI ID 304679)
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Meljanac, Stjepan ; Mignemi, Salvatore
engleski
Unification of kappa-Minkowski and extended Snyder spaces
In a recent paper, we have studied associative realizations of the noncommutative extended Snyder model, obtained by including the Lorentz generators (tensorial coordinates) and their conjugated momenta. In this paper, we extend this result to also incorporate a covariant realization of the kappa-Poincare spacetime. We obtain the coproduct, the associative star product and the twist in a Weyl-ordered realization, to first order in the noncommutativity parameters. This could help the construction of a quantum field theory based on this geometry.
Snyder spacetime ; realization ; star product ; Hopf algebra ; twist
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