Details
| Originalsprache | Englisch |
|---|---|
| Seiten (von - bis) | 848-903 |
| Seitenumfang | 56 |
| Fachzeitschrift | Nuclear Physics B |
| Jahrgang | 899 |
| Publikationsstatus | Veröffentlicht - 1 Okt. 2015 |
Abstract
We consider SU(3)-equivariant dimensional reduction of Yang-Mills theory over certain cyclic orbifolds of the 5-sphere which are Sasaki-Einstein manifolds. We obtain new quiver gauge theories extending those induced via reduction over the leaf spaces of the characteristic foliation of the Sasaki-Einstein structure, which are projective planes. We describe the Higgs branches of these quiver gauge theories as moduli spaces of spherically symmetric instantons which are SU(3)-equivariant solutions to the Hermitian Yang-Mills equations on the associated Calabi-Yau cones, and further compare them to moduli spaces of translationally-invariant instantons on the cones. We provide an explicit unified construction of these moduli spaces as Kähler quotients and show that they have the same cyclic orbifold singularities as the cones over the lens 5-spaces.
ASJC Scopus Sachgebiete
- Physik und Astronomie (insg.)
- Kern- und Hochenergiephysik
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in: Nuclear Physics B, Jahrgang 899, 01.10.2015, S. 848-903.
Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review
}
TY - JOUR
T1 - Sasakian quiver gauge theories and instantons on cones over lens 5-spaces
AU - Lechtenfeld, Olaf
AU - Popov, Alexander D.
AU - Sperling, Marcus
AU - Szabo, Richard J.
N1 - Funding Information: This work was partially supported by the Grant LE 838/13 from the Deutsche Forschungsgemeinschaft (DFG, Germany), by the Consolidated Grant ST/L000334/1 from the UK Science and Technology Facilities Council (STFC), and by the Action MP1405 QSPACE from the European Cooperation in Science and Technology (COST). Publisher Copyright: © 2015 The Authors. Copyright: Copyright 2015 Elsevier B.V., All rights reserved.
PY - 2015/10/1
Y1 - 2015/10/1
N2 - We consider SU(3)-equivariant dimensional reduction of Yang-Mills theory over certain cyclic orbifolds of the 5-sphere which are Sasaki-Einstein manifolds. We obtain new quiver gauge theories extending those induced via reduction over the leaf spaces of the characteristic foliation of the Sasaki-Einstein structure, which are projective planes. We describe the Higgs branches of these quiver gauge theories as moduli spaces of spherically symmetric instantons which are SU(3)-equivariant solutions to the Hermitian Yang-Mills equations on the associated Calabi-Yau cones, and further compare them to moduli spaces of translationally-invariant instantons on the cones. We provide an explicit unified construction of these moduli spaces as Kähler quotients and show that they have the same cyclic orbifold singularities as the cones over the lens 5-spaces.
AB - We consider SU(3)-equivariant dimensional reduction of Yang-Mills theory over certain cyclic orbifolds of the 5-sphere which are Sasaki-Einstein manifolds. We obtain new quiver gauge theories extending those induced via reduction over the leaf spaces of the characteristic foliation of the Sasaki-Einstein structure, which are projective planes. We describe the Higgs branches of these quiver gauge theories as moduli spaces of spherically symmetric instantons which are SU(3)-equivariant solutions to the Hermitian Yang-Mills equations on the associated Calabi-Yau cones, and further compare them to moduli spaces of translationally-invariant instantons on the cones. We provide an explicit unified construction of these moduli spaces as Kähler quotients and show that they have the same cyclic orbifold singularities as the cones over the lens 5-spaces.
UR - http://www.scopus.com/inward/record.url?scp=84941671345&partnerID=8YFLogxK
U2 - 10.1016/j.nuclphysb.2015.09.001
DO - 10.1016/j.nuclphysb.2015.09.001
M3 - Article
AN - SCOPUS:84941671345
VL - 899
SP - 848
EP - 903
JO - Nuclear Physics B
JF - Nuclear Physics B
SN - 0550-3213
ER -