Deformations of conformal theories and non-toric quiver gauge theories

TL;DR

This paper explores non-toric quiver gauge theories dual to Sasaki-Einstein manifolds, introducing a method to construct non-toric examples via relevant deformations and comparing geometric and quantum field theory predictions.

Contribution

It provides a general method for constructing non-toric quiver theories from toric ones and compares R-charge predictions from geometry and quantum field theory.

Findings

Successful construction of non-toric examples from toric cases.

Complete comparison between geometric and quantum R-charge predictions.

Analysis of conformal dimensions for mesonic and baryonic operators.

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.