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arXiv · 1612.03169

The kappa-(A)dS quantum algebra in (3+1) dimensions

Angel Ballesteros·Francisco J. Herranz·Fabio Musso·Pedro Naranjo
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Abstract

The quantum duality principle is used to obtain explicitly the Poisson analogue of the kappa-(A)dS quantum algebra in (3+1) dimensions as the corresponding Poisson-Lie structure on the dual solvable Lie group. The construction is fully performed in a kinematical basis and deformed Casimir functions are also explicitly obtained. The cosmological constant $\Lambda$ is included as a Poisson-Lie group contraction parameter, and the limit $\Lambda\to 0$ leads to the well-known kappa-Poincar\'e algebra in the bicrossproduct basis. A twisted version with Drinfel'd double structure of this kappa-(A)dS deformation is sketched.

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Angel Ballesteros, Francisco J. Herranz, Fabio Musso, Pedro Naranjo. 2016-12-09. The kappa-(A)dS quantum algebra in (3+1) dimensions. https://doi.org/10.1016/j.physletb.2017.01.020

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