Research
Publications

Publications at the Riemann Center

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)