# 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} }

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

### Associative realizations of the extended Snyder model

- MathematicsPhysical 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…

### Snyder-de Sitter Meets the Grosse-Wulkenhaar Model

- 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…

### Deformed Quantum Phase Spaces, Realizations, Star Products and Twists

- 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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