Orbifold instantons, moment maps, and Yang-Mills theory with sources

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Ivanova, T.A.; Lechtenfeld, O.; Popov, A.D.; Szabo, R.J.: Orbifold instantons, moment maps, and Yang-Mills theory with sources. In: Physical Review D - Particles, Fields, Gravitation and Cosmology 88 (2013), Nr. 10, 105026. DOI: https://doi.org/10.1103/PhysRevD.88.105026

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Sum total of downloads: 123




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Abstract: 
We revisit the problem of constructing instantons on ADE orbifolds R4/Γ and point out some subtle relations with the complex structure on the orbifold. We consider generalized instanton equations on R4/Γ which are BPS equations for the Yang-Mills equations with an external current. The relation between level sets of the moment maps in the hyper-Kähler quotient construction of the instanton moduli space and sources in the Yang-Mills equations is discussed. We describe two types of spherically symmetric Γ-equivariant connections on complex V bundles over R4/Γ which are tailored to the way in which the orbifold group acts on the fibers. Some explicit Abelian and non-Abelian SU(2)-invariant solutions to the instanton equations on the orbifold are worked out. © 2013 American Physical Society.
License of this version: Es gilt deutsches Urheberrecht. Das Dokument darf zum eigenen Gebrauch kostenfrei genutzt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden.
Document Type: article
Publishing status: publishedVersion
Issue Date: 2013
Appears in Collections:Fakultät für Mathematik und Physik

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pos. country downloads
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1 image of flag of Germany Germany 111 90.24%
2 image of flag of France France 3 2.44%
3 image of flag of Netherlands Netherlands 2 1.63%
4 image of flag of Canada Canada 2 1.63%
5 image of flag of United States United States 1 0.81%
6 image of flag of Morocco Morocco 1 0.81%
7 image of flag of India India 1 0.81%
8 image of flag of Europe Europe 1 0.81%
9 image of flag of Brazil Brazil 1 0.81%

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