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

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  • Joint Institute for Nuclear Research
  • Heriot-Watt University
  • Maxwell Institute for Mathematical Sciences
  • Tait Institute
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Original languageEnglish
Article number105026
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume88
Issue number10
Publication statusPublished - 26 Nov 2013

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.

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Orbifold instantons, moment maps, and Yang-Mills theory with sources. / Ivanova, Tatiana A.; Lechtenfeld, Olaf; Popov, Alexander D. et al.
In: Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol. 88, No. 10, 105026, 26.11.2013.

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T1 - Orbifold instantons, moment maps, and Yang-Mills theory with sources

AU - Ivanova, Tatiana A.

AU - Lechtenfeld, Olaf

AU - Popov, Alexander D.

AU - Szabo, Richard J.

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