Details
| Original language | English |
|---|---|
| Article number | 105026 |
| Journal | Physical Review D - Particles, Fields, Gravitation and Cosmology |
| Volume | 88 |
| Issue number | 10 |
| Publication status | Published - 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.
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Nuclear and High Energy Physics
- Physics and Astronomy(all)
- Physics and Astronomy (miscellaneous)
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In: Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol. 88, No. 10, 105026, 26.11.2013.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Orbifold instantons, moment maps, and Yang-Mills theory with sources
AU - Ivanova, Tatiana A.
AU - Lechtenfeld, Olaf
AU - Popov, Alexander D.
AU - Szabo, Richard J.
N1 - Copyright: Copyright 2013 Elsevier B.V., All rights reserved.
PY - 2013/11/26
Y1 - 2013/11/26
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=84889652788&partnerID=8YFLogxK
U2 - 10.1103/PhysRevD.88.105026
DO - 10.1103/PhysRevD.88.105026
M3 - Article
AN - SCOPUS:84889652788
VL - 88
JO - Physical Review D - Particles, Fields, Gravitation and Cosmology
JF - Physical Review D - Particles, Fields, Gravitation and Cosmology
SN - 1550-7998
IS - 10
M1 - 105026
ER -