An Infinite Family of Superconformal Quiver Gauge Theories with Sasaki-Einstein Duals

Details An Infinite Family of Superconformal Quiver Gauge Theories with Sasaki-Einstein Duals An Infinite Family of Superconformal Quiver Gauge Theories with Sasaki-Einstein Duals

2004-11-29

arxiv.org/abs/hep-th/0411264v2

JHEP0506:064,2005

Physics

High Energy Physics

High Energy Physics - Theory

31 pages, 9 figures; v2: Geometric interpretation of Higgsing given, discussion of baryons added, minor corrections

Scientific paper

10.1088/1126-6708/2005/06/064

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.

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