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Snyder-type space–times, twisted Poincaré algebra and addition of momenta

S. Meljanac
(
- Boskovic Inst., Zagreb
)
,
D. Meljanac
(
- Boskovic Inst., Zagreb
)
,
S. Mignemi
(
- Cagliari U., Math. Dept. and
- INFN, Cagliari
)
,
R. Štrajn
(
- Cagliari U., Math. Dept. and
- INFN, Cagliari
)

Aug 22, 2016

15 pages

Published in:

Int.J.Mod.Phys.A 32 (2017) 28n29, 1750172

Published: Oct 11, 2017

e-Print:

1608.06207 [hep-th]

DOI:

10.1142/S0217751X1750172X

View in:

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Abstract: (WSP)

We discuss a generalization of the Snyder model compatible with undeformed Lorentz symmetries, which we describe in terms of a large class of deformations of the Heisenberg algebra. The corresponding deformed addition of momenta, the twist and the R-matrix are calculated to first order in the deformation parameters for all models. In the particular case of the Snyder realization, an analytic formula for the twist is obtained.

Note:

11 pages

03.65.-w
Noncommutative geometry
Snyder model
geometry: noncommutative
algebra: Heisenberg
symmetry: Lorentz
deformation
twist
space-time
Snyder model

References(40)

Figures(0)

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