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

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Externe Organisationen

  • Joint Institute for Nuclear Research (JINR)
  • Heriot-Watt University
  • Maxwell Institute for Mathematical Sciences
  • Tait Institute
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Details

OriginalspracheEnglisch
Aufsatznummer105026
FachzeitschriftPhysical Review D - Particles, Fields, Gravitation and Cosmology
Jahrgang88
Ausgabenummer10
PublikationsstatusVeröffentlicht - 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, Jahrgang 88, Nr. 10, 105026, 26.11.2013.

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

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AU - Ivanova, Tatiana A.

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AU - Popov, Alexander D.

AU - Szabo, Richard J.

N1 - Copyright: Copyright 2013 Elsevier B.V., All rights reserved.

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