2004/09/30 by Kazuki Hasebe, Yusuke Kimura · 1 citation
Physics and Astronomy · #Angular momentum #Black Holes and Theoretical Physics #Degenerate energy levels #Magnetic monopole #Mathematical physics #Noncommutative and Quantum Gravity Theories #Noncommutative geometry #Physics #Quantum Mechanics and Non-Hermitian Physics #Quantum mechanics #Spinor #Supersymmetry #Theoretical physics #Wave function #hep-th
paper · pdf · doi:10.1016/j.nuclphysb.2004.11.040
published as Nucl.Phys. B709 (2005) 94-114 · 22 pages
arxiv created 2004/10/06 · openalex publication_date 2004/12/09 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.