Fuzzy Supersphere and Supermonopole
Fuzzy Supersphere and Supermonopole
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DOI：
10.1016/j.nuclphysb.2004.11.040
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发表时间：
2004-09
期刊：
影响因子：
--
通讯作者：
K. Hasebe;Y. Kimura
中科院分区：
文献类型：
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作者：
K. Hasebe;Y. Kimura
众所周知，带电粒子在电子背景中的坐标是非对易的。本文研究了在超球存在的情况下，带电粒子在超球上的运动。我们利用第一个Hopf映射的超对称扩张构造了一个超对称映射。本文研究了角动量算符代数和超对称生成元代数。结果表明，粒子坐标在最低朗道层次上可用模糊超球描述。我们发现，由于超对称性，存在两种简并波函数。利用Hopf旋量给出了基态波函数，并讨论了它们的一些性质.
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.