Involutive representations of coordinate algebras and quantum spaces

Autor: Tajron Jurić, Timothé Poulain, Jean-Christophe Wallet

Publikováno v: Journal of High Energy Physics, Vol 2017, Iss 7, Pp 1-32 (2017)

Abstract We show that s u 2 $$ \mathfrak{s}\mathfrak{u}(2) $$ Lie algebras of coordinate operators related to quantum spaces with s u 2 $$ \mathfrak{s}\mathfrak{u}(2) $$ noncommutativity can be conveniently represented by SO(3)-covariant poly-differe

Externí odkaz: https://doaj.org/article/4a018265d10f4dff81ebb064d144685e

Localization and Reference Frames in $\kappa$-Minkowski Spacetime

Autor: Mattia Manfredonia, Timothé Poulain, Flavio Mercati, Fedele Lizzi

Publikováno v: Phys.Rev.D
Phys.Rev.D, 2019, 99 (8), pp.085003. ⟨10.1103/PhysRevD.99.085003⟩
Physical Review D
Physical Review D, American Physical Society, 2019, 99 (8), pp.085003. ⟨10.1103/PhysRevD.99.085003⟩
Physical Review

We study the limits to the localizability of events and reference frames in the $\kappa$-Minkowski quantum spacetime. Our main tool will be a representation of the $\kappa$-Minkowski commutation relations between coordinates, and the operator and mea

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2e4871989223f2257507411dc935a3ee
http://arxiv.org/abs/1811.08409

Quantum spaces, central extensions of Lie groups and related quantum field theories

Autor: Timothé Poulain, Jean-Christophe Wallet

Publikováno v: Journal of Physics: Conference Series
Journal of Physics: Conference Series, IOP Publishing, 2018, 965, pp.012032. ⟨10.1088/1742-6596/965/1/012032⟩
J.Phys.Conf.Ser.
25th International Conference on Integrable Systems and Quantum Symmetries
25th International Conference on Integrable Systems and Quantum Symmetries, Jun 2017, Prague, Czech Republic. J.Phys.Conf.Ser., 965 (1), pp.012032, 2018, 〈10.1088/1742-6596/965/1/012032〉
25th International Conference on Integrable Systems and Quantum Symmetries, Jun 2017, Prague, Czech Republic. pp.012032, ⟨10.1088/1742-6596/965/1/012032⟩

Quantum spaces with $\frak{su}(2)$ noncommutativity can be modelled by using a family of $SO(3)$-equivariant differential $^*$-representations. The quantization maps are determined from the combination of the Wigner theorem for $SU(2)$ with the polar

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::17c4f760c836416ab86ec8bde9e6679f
https://hal.archives-ouvertes.fr/hal-02372461/file/jcwPhys.__Conf._Ser._965_012032.pdf

Involutive representations of coordinate algebras and quantum spaces

Autor: Jean-Christophe Wallet, Timothé Poulain, Tajron Jurić

Publikováno v: Journal of High Energy Physics
Journal of High Energy Physics, Vol 2017, Iss 7, Pp 1-32 (2017)
JHEP
JHEP, 2017, 07, pp.116. ⟨10.1007/JHEP07(2017)116⟩
JHEP, 2017, 07, pp.116. 〈10.1007/JHEP07(2017)116〉
Journal of High Energy Physics, Springer, 2017, 07, pp.116. ⟨10.1007/JHEP07(2017)116⟩

We show that $\frak{su}(2)$ Lie algebras of coordinate operators related to quantum spaces with $\frak{su}(2)$ noncommutativity can be conveniently represented by $SO(3)$-covariant poly-differential involutive representations. We show that the quanti

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d00d1cda9ab1355cae6393bf1ff520a3