Sasakian quiver gauge theories and instantons on cones over round and squashed seven-spheres

authored by

Jakob C. Geipel, Olaf Lechtenfeld, Alexander D. Popov, Richard J. Szabo

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 .

Organisation(s)

Institut für Theoretische Physik
Riemann Center for Geometry and Physics

External Organisation(s)

Heriot-Watt University
Maxwell Institute for Mathematical Sciences
University of Edinburgh

Type

Artikel

Journal

Nuclear Physics B

Volume

942

Pages

103-148

No. of pages

46

ISSN

0550-3213

Publication date

05.2019

Publication status

Veröffentlicht

Peer reviewed

Yes

ASJC Scopus Sachgebiete

Kern- und Hochenergiephysik

Electronic version(s)

https://doi.org/10.48550/arXiv.1706.07383 (Access: Offen)
https://doi.org/10.1016/j.nuclphysb.2019.03.010 (Access: Offen)
https://doi.org/10.15488/10416 (Access: Offen)