Details
| Original language | English |
|---|---|
| Pages (from-to) | 103-148 |
| Number of pages | 46 |
| Journal | Nuclear Physics B |
| Volume | 942 |
| Early online date | 21 Mar 2019 |
| Publication status | Published - May 2019 |
Abstract
We study quiver gauge theories on the round and squashed seven-spheres, and orbifolds thereof. They arise by imposing G-equivariance on the homogeneous space G/H=SU(4)/SU(3) endowed with its Sasaki-Einstein structure, and G/H=Sp(2)/Sp(1) as a 3-Sasakian manifold. In both cases we describe the equivariance conditions and the resulting quivers. We further study the moduli spaces of instantons on the metric cones over these spaces by using the known description for Hermitian Yang-Mills instantons on Calabi-Yau cones. It is shown that the moduli space of instantons on the hyper-Kähler cone can be described as the intersection of three Hermitian Yang-Mills moduli spaces. We also study moduli spaces of translationally invariant instantons on the metric cone R 8 /Z k over S 7 /Z k .
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Nuclear and High Energy Physics
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In: Nuclear Physics B, Vol. 942, 05.2019, p. 103-148.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Sasakian quiver gauge theories and instantons on cones over round and squashed seven-spheres
AU - Geipel, Jakob C.
AU - Lechtenfeld, Olaf
AU - Popov, Alexander D.
AU - Szabo, Richard J.
N1 - Funding Information: This paper is based upon work from COST Action MP1405 QSPACE, supported by COST ( European Cooperation in Science and Technology ). This work was supported by the Deutsche Forschungsgemeinschaft (DFG, Germany) under the grant LE 838/13 , by the Research Training Group RTG 1463 “Analysis, Geometry and String Theory” ( DFG ), and by the Consolidated Grant ST/L000334/1 from the UK Science and Technology Facilities Council (STFC).
PY - 2019/5
Y1 - 2019/5
N2 - We study quiver gauge theories on the round and squashed seven-spheres, and orbifolds thereof. They arise by imposing G-equivariance on the homogeneous space G/H=SU(4)/SU(3) endowed with its Sasaki-Einstein structure, and G/H=Sp(2)/Sp(1) as a 3-Sasakian manifold. In both cases we describe the equivariance conditions and the resulting quivers. We further study the moduli spaces of instantons on the metric cones over these spaces by using the known description for Hermitian Yang-Mills instantons on Calabi-Yau cones. It is shown that the moduli space of instantons on the hyper-Kähler cone can be described as the intersection of three Hermitian Yang-Mills moduli spaces. We also study moduli spaces of translationally invariant instantons on the metric cone R 8 /Z k over S 7 /Z k .
AB - We study quiver gauge theories on the round and squashed seven-spheres, and orbifolds thereof. They arise by imposing G-equivariance on the homogeneous space G/H=SU(4)/SU(3) endowed with its Sasaki-Einstein structure, and G/H=Sp(2)/Sp(1) as a 3-Sasakian manifold. In both cases we describe the equivariance conditions and the resulting quivers. We further study the moduli spaces of instantons on the metric cones over these spaces by using the known description for Hermitian Yang-Mills instantons on Calabi-Yau cones. It is shown that the moduli space of instantons on the hyper-Kähler cone can be described as the intersection of three Hermitian Yang-Mills moduli spaces. We also study moduli spaces of translationally invariant instantons on the metric cone R 8 /Z k over S 7 /Z k .
UR - http://www.scopus.com/inward/record.url?scp=85063381558&partnerID=8YFLogxK
U2 - 10.48550/arXiv.1706.07383
DO - 10.48550/arXiv.1706.07383
M3 - Article
AN - SCOPUS:85063381558
VL - 942
SP - 103
EP - 148
JO - Nuclear Physics B
JF - Nuclear Physics B
SN - 0550-3213
ER -