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사범대학
과학교육과
Journal papers
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Supersymmetric monopole quantum mechanics on a sphere
Title
Supersymmetric monopole quantum mechanics on a sphere
Authors
Hong S.-T.
;
Lee J.
;
Lee T.H.
;
Oh P.
Ewha Authors
홍순태
SCOPUS Author ID
홍순태
Issue Date
2005
Journal Title
Physical Review D - Particles, Fields, Gravitation and Cosmology
ISSN
1550-7998
Citation
Physical Review D - Particles, Fields, Gravitation and Cosmology vol. 72, no. 1, pp. 1 - 6
Indexed
SCIE; SCOPUS
Document Type
Article
Abstract
We study N=2 supersymmetric quantum mechanics of a charged particle on sphere in the background of Dirac magnetic monopole. We adopt CP(1) model approach in which the monopole interaction is free of singularity. It turns out that this approach admits a compact N=2 superspace formulation. In order to exploit manifest U(1) covariance in the superspace formalism, we introduce a gauged chiral superfield which is annihilated by the gauge covariant superderivative instead of the usual superderivative. We carry out the Dirac quantization of the resulting system and compute the quantum mechanical spectrum. We obtain the condition for the spontaneous breaking of supersymmetry explicitly in terms of the monopole charge and a parameter which characterizes the operator ordering ambiguity. We find that the supersymmetry is spontaneously broken unless a certain combination of these quantities satisfies some quantization condition. © 2005 The American Physical Society.
DOI
10.1103/PhysRevD.72.015002
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