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On Little Groups and Boosts of κ-deformed Poincare Group

1994/08/23 by S. Rouhani, Rouhani, S., Ahmad Shariati +2
Mathematics · Physics and Astronomy · #Advanced Topology and Set Theory #FOS: Physical sciences #Finite Group Theory Research #High Energy Physics - Theory (hep-th) #Rings, Modules, and Algebras #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/9408123

11 pages, LaTeX

arxiv created 1994/08/23 · openalex publication_date 1994/08/23 · arxiv updated 2009/11/30 · openalex created_date 2024/04/10 · openalex updated_date 2026/07/28

Abstract

We show how Wigner's little group approach to the representation theory of Poincaré group may be generalized to the case of κ-deformed Poincaré group. We also derive the deformed Lorentz transformations of energy and momentum. We find that if the κ-deformed Poincaré group is adopted as the fundamental symmetry of nature, it results in deviations from predictions of the Poincaré symmetry at large energies, which may be experimentally observable.

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