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

authored by

Tatiana A. Ivanova, Olaf Lechtenfeld, Alexander D. Popov, Richard J. Szabo

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.

Organisation(s)

Institut für Theoretische Physik
Riemann Center for Geometry and Physics

External Organisation(s)

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

Type

Artikel

Journal

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volume

88

ISSN

1550-7998

Publication date

26.11.2013

Publication status

Veröffentlicht

Peer reviewed

Yes

ASJC Scopus Sachgebiete

Kern- und Hochenergiephysik, Physik und Astronomie (sonstige)

Electronic version(s)

https://doi.org/10.1103/PhysRevD.88.105026 (Access: Unbekannt)