Quantum Spheres for OSp_q(1/2)

Details Quantum Spheres for OSp_q(1/2) Quantum Spheres for OSp_q(1/2)

2005-07-22

arxiv.org/abs/math/0507468v1

J. Math. Phys. 46, 103510 (2005) (25 pages)

Mathematics

Quantum Algebra

30pages, no figure. to be published in J. Math. Phys

Scientific paper

10.1063/1.2042969

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.

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