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

TL;DR

This paper constructs an infinite family of quiver gauge theories with explicit Sasaki-Einstein duals, computes their exact R-charges, and confirms the duality through matching physical quantities, advancing the understanding of AdS/CFT correspondence.

Contribution

It introduces a new systematic method to generate and analyze an infinite class of superconformal quiver gauge theories with known dual geometries.

Findings

Exact R-charges are quadratic irrational numbers.

Central charges and baryon charges match geometric computations.

The construction method is applicable to a broad class of theories.

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.