# Interplay between Spacetime Curvature, Speed of Light and Quantum Deformations of Relativistic Symmetries

@article{Ballesteros2021InterplayBS, title={Interplay between Spacetime Curvature, Speed of Light and Quantum Deformations of Relativistic Symmetries}, author={Angel Ballesteros and Giulia Gubitosi and Flavio Mercati}, journal={Symmetry}, year={2021}, volume={13}, pages={2099} }

Recent work showed that κ-deformations can describe the quantum deformation of several relativistic models that have been proposed in the context of quantum gravity phenomenology. Starting from the Poincaré algebra of special-relativistic symmetries, one can toggle the curvature parameter Λ, the Planck scale quantum deformation parameter κ and the speed of light parameter c to move to the well-studied κ-Poincaré algebra, the (quantum) (A)dS algebra, the (quantum) Galilei and Carroll algebras…

## 3 Citations

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We review deformed quantum phase spaces and their realizations in terms of undeformed phase space. In particular, methods of calculation for the star product, coproduct of momenta and twist from…

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It has been pointed out that different choices of momenta can be associated to the same noncommutative spacetime model. The question of whether these momentum spaces, related by diffeomorphisms,…

Double Quantization

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In a quantum gravity theory, it is expected that the classical notion of spacetime disappears, leading to a quantum structure with new properties. A possible way to take into account these quantum…

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