2004/11/30 by Sergio Benvenuti, Sebastián Franco, Sebastian Franco +3 · 3 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Dual polyhedron #Gauge theory #Geometry and complex manifolds #Instanton #Isometry (Riemannian geometry) #Mathematical physics #Mathematics #Orbifold #Physics #Pure mathematics #Quiver #Simple (philosophy) #Theoretical physics #hep-th
paper · pdf · doi:10.1088/1126-6708/2005/06/064
published as JHEP0506:064,2005 · 31 pages, 9 figures; v2: Geometric interpretation of Higgsing given, discussion of baryons added, minor corrections
arxiv created 2005/03/20 · openalex publication_date 2005/06/27 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We describe an infinite family of quiver gauge theories that are AdS/CFT dual to a corresponding class of explicit horizon Sasaki-Einstein manifolds. The quivers may be obtained from a family of orbifold theories by a simple iterative procedure. A key aspect in their construction relies on the global symmetry which is dual to the isometry of the manifolds. For an arbitrary such quiver we compute the exact R-charges of the fields in the IR by applying a-maximization. The values we obtain are generically quadratic irrational numbers and agree perfectly with the central charges and baryon charges computed from the family of metrics using the AdS/CFT correspondence. These results open the way for a systematic study of the quiver gauge theories and their dual geometries.