The quantum spheres and their embedding into quantum Minkowski space-time

DOI10.1155/S1110757X0211103XzbMATH Open1014.83025arXivhep-th/0106056OpenAlexW1993771432MaRDI QIDQ1854125

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Publication date: 13 January 2003

Published in: (Search for Journal in Brave)

Abstract: 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 ${calSO}_q(3)$ group leads to a decomposition of the transformed Hilbert space states in terms of orthogonal subspaces exhibiting the periodicity of the quantum sphere states.

Full work available at URL: https://arxiv.org/abs/hep-th/0106056

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