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Physical Review D
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Physical Review D
Article . 2005 . Peer-reviewed
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https://dx.doi.org/10.48550/ar...
Article . 2005
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Supersymmetric monopole quantum mechanics on a sphere

Authors: Phillial Oh; Tae Hoon Lee; Soon-Tae Hong; Joohan Lee;

Supersymmetric monopole quantum mechanics on a sphere

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. In order to exploit manifest U(1) covariance in the superspace formalism, we introduce a gauge covariant chiral superfield which is annihilated by the gauge covariant superderivative instead of the usual superderivative. We carry out the quantization of the resulting system and compute the quantum mechanical spectrum. We obtain the condition for the spontaneous breaking of supersymmetries explicitely in terms of the monopole charge and a parameter characterizing the operator ordering ambiguity. We find that the supersymmetry is spontaneously broken unless a certain combination of theses quantities satisfies some quantization condition.

11 pages, typeset in Revtex4 format, 1 reference added for Sect 1, some minor corrections

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Keywords

High Energy Physics - Theory, High Energy Physics - Theory (hep-th), FOS: Physical sciences

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
10
Average
Average
Average
Green
bronze