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N = 4 supersymmetric quantum mechanics with magnetic monopole

Title
N = 4 supersymmetric quantum mechanics with magnetic monopole
Authors
Hong S.-T.Lee J.Tae H.L.Oh P.
Ewha Authors
홍순태
SCOPUS Author ID
홍순태scopus
Issue Date
2005
Journal Title
Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
ISSN
0370-2693JCR Link
Citation
Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics vol. 628, no. 41276, pp. 165 - 170
Indexed
SCIE; SCOPUS WOS scopus
Document Type
Article
Abstract
We propose an N=4 supersymmetric quantum mechanics of a charged particle on a sphere in the background of Dirac magnetic monopole and study the system in the CP(1) model approach. By using the Dirac quantization method, we explicitly calculate the symmetry algebra taking the operator ordering ambiguity into consideration. We find that it is given by the superalgebra su(1

2)×su(2) rot. We also show that the Hamiltonian can be written in terms of the Casimir invariant of su(2)rot algebra. Using this relation and analyzing the lower bound for angular momentum, we find the energy spectrum. We, then, examine the ground energy sector to find that the N=4 supersymmetry is spontaneously broken to N=2 for certain values of the monopole charge. © 2005 Elsevier B.V. All rights reserved.
DOI
10.1016/j.physletb.2005.09.024
Appears in Collections:
사범대학 > 과학교육과 > Journal papers
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