It is based on https://arxiv.org/abs/1511.03868 as well as work which should appear soon.
I will discuss how the RG-running of the gauge coupling can be absorbed into the metric
for N=1 gauge theories by using the Konishi anomaly. The central charge between the
UV and IR fixed point is then computed, using the construction of Komargodski and Schwimmer, within a free field theory. The non-trivial dynamics emerges from expanding the geometric quantities such as the Euler term confirming an earlier result in the literature. I will discuss how to make use of these techniques in non-supersymmetric gauge theories aka QCD-like gauge theories.