Intrinsic anyonic spin through deformed geometry
Intrinsic anyonic spin through deformed geometry
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通过变形几何的本征任意子自旋
DOI：
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发表时间：
1997
期刊：
影响因子：
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通讯作者：
R. S. Dunne
中科院分区：
文献类型：
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作者：
R. S. Dunne
当变形参数 $q$ 达到单位根时，对变形玻色子振荡器以及量子群 ${\cal U}_q(SL(2))$ 和 $GL_q(2)$ 的极限属性进行了物理研究和解释。这些性质被认为与分数超对称性和本征任意子自旋有关。基于 $GL_q(2)$ 引入了 Klein-Gordon 方程的简单变形。当 $q$ 是单位根时，该方程是未变形 Klein-Gordon 方程的根。
The properties of the deformed bosonic oscillator, and the quantum groups ${\cal U}_q(SL(2))$ and $GL_q(2)$ in the limit as their deformation parameter $q$ goes to a root of unity are investigated and interpreted physically. These properties are seen to be related to fractional supersymmetry and intrinsic anyonic spin. A simple deformation of the Klein-Gordon equation is introduced, based on $GL_q(2)$. When $q$ is a root of unity this equation is a root of the undeformed Klein-Gordon equation.