# Twist for Snyder space

@article{Meljanac2017TwistFS,
title={Twist for Snyder space},
author={Daniel Meljanac and Stjepan Meljanac and Salvatore Mignemi and Danijel Pikuti{\'c} and Rina {\vS}trajn},
journal={The European Physical Journal C},
year={2017},
volume={78},
pages={1-9}
}
• Published 8 November 2017
• Mathematics
• The European Physical Journal C
We construct the twist operator for the Snyder space. Our starting point is a non-associative star product related to a Hermitian realisation of the noncommutative coordinates originally introduced by Snyder. The corresponding coproduct of momenta is non-coassociative. The twist is constructed using a general definition of the star product in terms of a bi-differential operator in the Hopf algebroid approach. The result is given by a closed analytical expression. We prove that this twist…
4 Citations
• Mathematics
Physical Review D
• 2020
The star product usually associated to the Snyder model of noncommutative geometry is nonassociative, and this property prevents the construction of a proper Hopf algebra. It is however possible to
• Physics, Mathematics
• 2020
We study an interacting $$\lambda \,\phi ^4_{\star }$$ scalar field defined on Snyder-de Sitter space. Due to the noncommutativity as well as the curvature of this space, the renormalization of the
• Physics
• 2021
. 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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