Quantum $κ$-Poincaré Algebra from de Sitter Space of Momenta
Abstract
Description
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.
10 pages
10 pages