Quantum Algebra of the Particle Moving on the q-Deformed Mass-Hyperboloid
arXiv:physics/9712046 · doi:10.1142/S0217751X00002329
Abstract
I introduce a reality structure on the Heisenberg double of Fun_q(SL(N,C)) for q phase, which for N=2 can be interpreted as the quantum phase space of the particle on the q-deformed mass-hyperboloid. This construction is closely related to the q-deformation of the symmetric top. Finally, I conjecture that the above real form describes zero modes of certain non-compact WZNZ-models.
12 pages, LaTeX, no figures