We discuss several examples of non-toric quiver gauge theories dual to Sasaki-Einstein manifolds with U(1) 2 or U(1) isometry. We give a general method for constructing non-toric examples by adding relevant deformations to the toric case. For all examples, we are able to make a complete comparison between the prediction for R-charges based on geometry and on quantum field theory. We also give a general discussion of the spectrum of conformal dimensions for mesonic and baryonic operators for a generic quiver theory; in the toric case we make an explicit comparison between R-charges of mesons and baryons.
Butti, A., Zaffaroni, A., Forcella, D. (2007). Deformations of conformal theories and non-toric quiver gauge theories. JOURNAL OF HIGH ENERGY PHYSICS, 2007(2), 82 [10.1088/1126-6708/2007/02/081].
Deformations of conformal theories and non-toric quiver gauge theories
ZAFFARONI, ALBERTO;
2007
Abstract
We discuss several examples of non-toric quiver gauge theories dual to Sasaki-Einstein manifolds with U(1) 2 or U(1) isometry. We give a general method for constructing non-toric examples by adding relevant deformations to the toric case. For all examples, we are able to make a complete comparison between the prediction for R-charges based on geometry and on quantum field theory. We also give a general discussion of the spectrum of conformal dimensions for mesonic and baryonic operators for a generic quiver theory; in the toric case we make an explicit comparison between R-charges of mesons and baryons.
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