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

Tatiana A Ivanova, Olaf Lechtenfeld, Alexander D Popov, Richard Joseph Szabo

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

We revisit the problem of constructing instantons on ADE orbifolds R-4/Gamma and point out some subtle relations with the complex structure on the orbifold. We consider generalized instanton equations on R-4/Gamma 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-Kahler quotient construction of the instanton moduli space and sources in the Yang-Mills equations is discussed. We describe two types of spherically symmetric Gamma-equivariant connections on complex V bundles over R-4/Gamma 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.

Original languageEnglish
Article number105026
Number of pages10
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume88
Issue number10
DOIs
Publication statusPublished - Nov 2013

Keywords

  • GRAVITATIONAL INSTANTONS
  • ALE SPACES
  • HYPERKAHLER METRICS
  • FIELD-THEORY
  • GEOMETRY
  • CONSTRUCTION
  • VARIETIES

Cite this