Generalizations of Snyder model to curved spaces

S. Meljanac; S. Mignemi

Generalizations of Snyder model to curved spaces

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arxiv 2206.04772 v2 pith:WYRJTGUJ submitted 2022-05-04 hep-th

S. Meljanac , S. Mignemi This is my paper · ORCID

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keywords modelsnyderspecialalgebrascurvedgeneralizationsrelativitytriply

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We consider generalizations of the Snyder algebra to a curved spacetime background with de Sitter symmetry. As special cases, we obtain the algebras of the Yang model and of triply special relativity. We discuss the realizations of these algebras in terms of canonical phase space coordinates, up to fourth order in the deformation parameters. In the case of triply special relativity we also find exact realization, exploiting its algebraic relation with the Snyder model.

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