SUPERSYMMETRY IN THE 2-ANYON PROBLEM

被引:6
作者
CHITRA, R
KUMAR, CN
SEN, D
机构
关键词
D O I
10.1142/S0217732392003499
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We show that the problem of two anyons interacting through a simple harmonic potential or a Coulomb potential is supersymmetric. The supersymmetry operators map a theory described by statistics parameter theta to one described by pi + theta. Thus fermions and bosons go into each other, while semions are supersymmetric by themselves. The simple harmonic problem has a Sp(4) symmetry for any value of theta which explains the energy degeneracies.
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页码:855 / 863
页数:9
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