Details
| Original language | English |
|---|---|
| Pages (from-to) | 445-475 |
| Number of pages | 31 |
| Journal | Nuclear Physics B |
| Volume | 907 |
| Early online date | 18 Apr 2016 |
| Publication status | Published - Jun 2016 |
Abstract
We consider Spin(4)-equivariant dimensional reduction of Yang-Mills theory on manifolds of the form Md×T1,1, where Md is a smooth manifold and T1,1 is a five-dimensional Sasaki-Einstein manifold Spin(4)/U(1). We obtain new quiver gauge theories on Md extending those induced via reduction over the leaf spaces CP1×CP1 in T1,1. We describe the Higgs branches of these quiver gauge theories as moduli spaces of Spin(4)-equivariant instantons on the conifold which is realized as the metric cone over T1,1. We give an explicit construction of these moduli spaces as Kähler quotients.
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Nuclear and High Energy Physics
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In: Nuclear Physics B, Vol. 907, 06.2016, p. 445-475.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Sasakian quiver gauge theories and instantons on the conifold
AU - Geipel, Jakob C.
AU - Lechtenfeld, Olaf
AU - Popov, Alexander D.
AU - Szabo, Richard J.
N1 - Funding information: J.C.G. thanks Marcus Sperling for helpful discussions. This work was partially supported by the Research Training Group RTG 1463, 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). J.C.G. thanks Marcus Sperling for helpful discussions. This work was partially supported by the Research Training Group RTG 1463, 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).
PY - 2016/6
Y1 - 2016/6
N2 - We consider Spin(4)-equivariant dimensional reduction of Yang-Mills theory on manifolds of the form Md×T1,1, where Md is a smooth manifold and T1,1 is a five-dimensional Sasaki-Einstein manifold Spin(4)/U(1). We obtain new quiver gauge theories on Md extending those induced via reduction over the leaf spaces CP1×CP1 in T1,1. We describe the Higgs branches of these quiver gauge theories as moduli spaces of Spin(4)-equivariant instantons on the conifold which is realized as the metric cone over T1,1. We give an explicit construction of these moduli spaces as Kähler quotients.
AB - We consider Spin(4)-equivariant dimensional reduction of Yang-Mills theory on manifolds of the form Md×T1,1, where Md is a smooth manifold and T1,1 is a five-dimensional Sasaki-Einstein manifold Spin(4)/U(1). We obtain new quiver gauge theories on Md extending those induced via reduction over the leaf spaces CP1×CP1 in T1,1. We describe the Higgs branches of these quiver gauge theories as moduli spaces of Spin(4)-equivariant instantons on the conifold which is realized as the metric cone over T1,1. We give an explicit construction of these moduli spaces as Kähler quotients.
UR - http://www.scopus.com/inward/record.url?scp=84963811493&partnerID=8YFLogxK
U2 - 10.1016/j.nuclphysb.2016.04.016
DO - 10.1016/j.nuclphysb.2016.04.016
M3 - Article
AN - SCOPUS:84963811493
VL - 907
SP - 445
EP - 475
JO - Nuclear Physics B
JF - Nuclear Physics B
SN - 0550-3213
ER -