Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

SIGMA 19 (2023), 065, 11 pages      arXiv:2306.10609      https://doi.org/10.3842/SIGMA.2023.065

Realizations of the Extended Snyder Model

Tea Martinić Bilać a and Stjepan Meljanac b
a) Faculty of Science, University of Split, Rudera Boškovića 33, 21000 Split, Croatia
b) Division of Theoretical Physics, Ruder Bošković Institute, Bijenička cesta 54, 10002 Zagreb, Croatia

Received June 21, 2023, in final form August 31, 2023; Published online September 14, 2023; Formula (2.4) corrected October 10, 2023

Abstract
We present the exact realization of the extended Snyder model. Using similarity transformations, we construct realizations of the original Snyder and the extended Snyder models. Finally, we present the exact new realization of the $\kappa$-deformed extended Snyder model.

Key words: Snyder model; extended Snyder model; $\kappa$-deformed extended Snyder model; realizations.

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