Quantum κ-Poincaré Algebra from de Sitter Space of Momenta

2004/11/17 by J. Kowalski-Glikman, S. Nowak, Kowalski-Glikman, J. +1
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/0411154

10 pages

arxiv created 2004/11/17 · arxiv updated 2009/12/01

Abstract

There is a growing number of physical models, like point particle(s) in 2+1 gravity or Doubly Special Relativity, in which the space of momenta is curved, de Sitter space. We show that for such models the algebra of space-time symmetries possesses a natural Hopf algebra structure. It turns out that this algebra is just the quantum κ-Poincaré algebra.

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