Fuzzy Supersphere and Supermonopole

Details Fuzzy Supersphere and Supermonopole Fuzzy Supersphere and Supermonopole

2004-09-23

arxiv.org/abs/hep-th/0409230v2

Nucl.Phys. B709 (2005) 94-114

Physics

High Energy Physics

High Energy Physics - Theory

22 pages

Scientific paper

10.1016/j.nuclphysb.2004.11.040

It is well-known that coordinates of a charged particle in a monopole background become noncommutative. In this paper, we study the motion of a charged particle moving on a supersphere in the presence of a supermonopole. We construct a supermonopole by using a supersymmetric extension of the first Hopf map. We investigate algebras of angular momentum operators and supersymmetry generators. It is shown that coordinates of the particle are described by fuzzy supersphere in the lowest Landau level. We find that there exist two kinds of degenerate wavefunctions due to the supersymmetry. Ground state wavefunctions are given by the Hopf spinor and we discuss their several properties.

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