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

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

Research output: Contribution to journalArticle

5 Citations (Scopus)
39 Downloads (Pure)

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.

Original languageEnglish
Pages (from-to)848-903
Number of pages56
JournalNuclear Physics B
Volume899
DOIs
Publication statusPublished - Oct 2015

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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