Quantum Spheres for OSp_q(1/2)
Quantum Algebra
2007-05-23 v1 Mathematical Physics
math.MP
Abstract
Using the corepresentation of the quantum supergroup OSp_q(1/2) a general method for constructing noncommutative spaces covariant under its coaction is developed. In particular, a one-parameter family of covariant algebras, which may be interpreted as noncommutative superspheres, is constructed. It is observed that embedding of the supersphere in the OSp_q(1/2) algebra is possible. This realization admits infinitesimal characterization a la Koornwinder. A covariant oscillator realization of the supersphere is also presented.
Cite
@article{arxiv.math/0507468,
title = {Quantum Spheres for OSp_q(1/2)},
author = {N. Aizawa and R. Chakrabarti},
journal= {arXiv preprint arXiv:math/0507468},
year = {2007}
}
Comments
30pages, no figure. to be published in J. Math. Phys