The Quantum Spheres and their Embedding into Quantum Minkowski Space-Time

Details The Quantum Spheres and their Embedding into Quantum Minkowski Space-Time The Quantum Spheres and their Embedding into Quantum Minkowski Space-Time

2001-06-06

arxiv.org/abs/hep-th/0106056v1

Physics

High Energy Physics

High Energy Physics - Theory

16 pages

Scientific paper

We recast the Podle\`s spheres in the noncommutative physics context by showing that they can be regarded as slices along the time coordinate of the different regions of the quantum Minkowski space-time. The investigation of the transformations of the quantum sphere states under the left coaction of the ${\cal SO}_{q}(3)$ group leads to a decomposition of the transformed Hilbert space states in terms of orthogonal subspaces exhibiting the periodicity of the quantum sphere states.

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