1.

Noncommutative spaces of worldlines
/ Ballesteros, Angel ; GutierrezSagredo, Ivan ; Herranz, Francisco J.
The space of timelike geodesics on Minkowski spacetime is constructed as a coset space of the Poincaré group in (3+1) dimensions with respect to the stabilizer of a worldline. [...]
Published in Physics letters B 792 (2019) 175181
10.1016/j.physletb.2019.03.029
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2.

Noncommutative Relativistic Spacetimes and Worldlines from 2 + 1 Quantum (Anti)de Sitter Groups
/ Herranz, Francisco J. ; Ballesteros, Ángel ; Bruno, N. Rossano
The $\kappa $ deformation of the (2 + 1)D antide Sitter, Poincaré, and de Sitter groups is presented through a unified approach in which the curvature of the spacetime (or the cosmological constant) is considered as an explicit parameter. [...]
Published in Advances in High Energy Physics 2017 (2017) 7876942
10.1155/2017/7876942
arXiv:0401244v3
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3.

The κ (A)dS quantum algebra in (3 + 1) dimensions
/ Ballesteros, Ángel ; Herranz, Francisco J. ; Musso, Fabio ; Naranjo, Pedro
The quantum duality principle is used to obtain explicitly the Poisson analogue of the κ (A)dS quantum algebra in ( 3+1 ) dimensions as the corresponding Poisson–Lie structure on the dual solvable Lie group. [...]
Published in Physics letters B (2017)
10.1016/j.physletb.2017.01.020
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4.

Towards ( 3+1 ) gravity through Drinfel'd doubles with cosmological constant
/ Ballesteros, Angel ; Herranz, Francisco J. ; Naranjo, Pedro
We present the generalisation to ( 3+1 ) dimensions of a quantum deformation of the ( 2+1 ) (Anti)de Sitter and Poincaré Lie algebras that is compatible with the conditions imposed by the Chern–Simons formulation of ( 2+1 ) gravity. [...]
Published in Physics letters B 746 (2015) 3743
10.1016/j.physletb.2015.04.041
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5.

A ( $2+1$ ) noncommutative Drinfel'd double spacetime with cosmological constant
/ Ballesteros, Angel ; Herranz, Francisco J. ; Meusburger, Catherine
We show that the Drinfel'd double associated to the standard quantum deformation ${\mathit{sl}}_{\eta}(2,\mathbb{R})$ is isomorphic to the $(2+1)$ dimensional AdS algebra with the initial deformation parameter η related to the cosmological constant $\Lambda ={\eta}^{2}$ . [...]
Published in Physics letters B 732 (2014) 201209
10.1016/j.physletb.2014.03.036
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