New example of infinite family of quiver gauge theories

2006/10/09 by Takeshi Oota, Yukinori Yasui · 1 citation
Mathematics · Physics and Astronomy · #Algebraic Geometry and Number Theory #Black Holes and Theoretical Physics #Einstein #Gauge (firearms) #Gauge theory #Geography #Geometry #Geometry and complex manifolds #Irrational number #Mathematical physics #Mathematics #Physics #Pure mathematics #Quiver #Theoretical physics #hep-th

paper · pdf · doi:10.1016/j.nuclphysb.2006.11.024

published as Nucl.Phys.B762:377-391,2007 · LaTeX, 24 pages, 16 figures (36 eps files)

arxiv created 2006/10/09 · openalex publication_date 2006/12/05 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We construct a new infinite family of quiver gauge theories which blow down to the X^p,q quiver gauge theories found by Hanany, Kazakopoulos and Wecht. This family includes a quiver gauge theory for the third del Pezzo surface. We show, using Z-minimaization, that these theories generically have irrational R-charges. The AdS/CFT correspondence implies that the dual geometries are irregular toric Sasaki-Einstein manifolds, although we do not know the explicit metrics.

Citations

• Dimer models and toric diagrams
• Brane dimers and quiver gauge theories
• Multi-flux warped throats and cascading gauge theories
• Transverse Kähler geometry of Sasaki manifolds and toric Sasaki-Einstein manifolds

Cited by

• Free Yang-Mills theory versus toric Sasaki-Einstein manifolds