Quantum Algebra of the Particle Moving on the q-Deformed Mass-Hyperboloid
Mathematical Physics
2016-12-28 v1 High Energy Physics - Theory
math.MP
Quantum Algebra
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.
Cite
@article{arxiv.physics/9712046,
title = {Quantum Algebra of the Particle Moving on the q-Deformed Mass-Hyperboloid},
author = {Bogdan Morariu},
journal= {arXiv preprint arXiv:physics/9712046},
year = {2016}
}
Comments
12 pages, LaTeX, no figures