Orbifold instantons, moment maps and Yang-Mills theory with sources
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Publication:6245546
DOI10.1103/PHYSREVD.88.105026arXiv1310.3028MaRDI QIDQ6245546
Richard J. Szabo, Olaf Lechtenfeld, Tatiana A. Ivanova, Alexander D. Popov
Publication date: 11 October 2013
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-Kaehler 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 fibres. Some explicit abelian and nonabelian SU(2)-invariant solutions to the nstanton equations on the orbifold are worked out.
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