Quantum Algebra of the Particle Moving on the q-Deformed Mass-Hyperboloid

Details Quantum Algebra of the Particle Moving on the q-Deformed Mass-Hyperboloid Quantum Algebra of the Particle Moving on the q-Deformed Mass-Hyperboloid

1997-12-24

arxiv.org/abs/physics/9712046v1

Int.J.Mod.Phys. A15 (2000) 3277-3286

Physics

Mathematical Physics

12 pages, LaTeX, no figures

Scientific paper

10.1142/S0217751X00002327

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.

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