Weakly coupled conformal manifolds in 4d

Understand

We classify ${\cal N}=1$ gauge theories with simple gauge groups in four dimensions which possess a conformal manifold passing through weak coupling.

• A very rich variety of models is found once one allows for arbitrary representations under the gauge group.
• For each such model we detail the dimension of the conformal manifold, the conformal anomalies, and the global symmetry preserved on a generic locus of the manifold.
• We also identify, at least some, sub-loci of the conformal manifolds preserving more symmetry than the generic locus.