Sasakian quiver gauge theories and instantons on cones over lens 5-spaces

authored by

Olaf Lechtenfeld, Alexander D. Popov, Marcus Sperling, Richard J. Szabo

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.

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

899

Pages

848-903

No. of pages

56

ISSN

0550-3213

Publication date

01.10.2015

Publication status

Veröffentlicht

Peer reviewed

Yes

ASJC Scopus Sachgebiete

Kern- und Hochenergiephysik

Electronic version(s)

https://doi.org/10.1016/j.nuclphysb.2015.09.001 (Access: Offen)