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Spin in the q-Deformed Poincar� Algebra

2001/11/01 by Christian Blohmann
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Nonlinear Waves and Solitons #hep-th #math.QA #msc:20G42 #msc:81R60

paper · pdf · doi:10.1007/s00220-003-0962-x

published as Commun.Math.Phys. 243 (2003) 329-342

arxiv created 2001/11/01 · openalex publication_date 2003/12/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/29

Abstract

We investigate spin as algebraic structure within the q-deformed Poincare algebra, proceeding in the same manner as in the undeformed case. The q-Pauli-Lubanski vector, the q-spin Casimir, and the q-little algebras for the massless and the massive case are constructed explicitly.

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