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

Bogdan Morariu
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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.

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Bogdan Morariu. 1997-12-24. Quantum Algebra of the Particle Moving on the q-Deformed Mass-Hyperboloid. https://doi.org/10.1142/s0217751x00002329

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