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.
An Infinite family of superconformal quiver gauge theories with Sasaki-Einstein duals / Benvenuti, S.; Franco, S.; Hanany, A.; Martelli, D.; Sparks, J.. - In: JOURNAL OF HIGH ENERGY PHYSICS. - ISSN 1029-8479. - 2005:6(2005), pp. 1-26. [10.1088/1126-6708/2005/06/064]
An Infinite family of superconformal quiver gauge theories with Sasaki-Einstein duals
Benvenuti, S.;
2005-01-01
Abstract
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.File | Dimensione | Formato | |
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