Quantum $κ$-Poincaré Algebra from de Sitter Space of Momenta

Details Quantum $κ$-Poincaré Algebra from de Sitter Space of Momenta Quantum $κ$-Poincaré Algebra from de Sitter Space of Momenta

2004-11-17

arxiv.org/abs/hep-th/0411154v1

Physics

High Energy Physics

High Energy Physics - Theory

10 pages

Scientific paper

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 $\kappa$-Poincar\'e algebra.

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