We consider N = 1supersymmetric gauge theories in the conformal window. By applying a suitable matter superfield- and Weyl-transformation the renormalisation group running of the theory is absorbed into the metric. The latter becomes a function of the Z-factor and the infrared anomalous dimension of the matter superfield. The Euler flow Δa ≡ aUV - aIR|N=1 becomes equivalent to a computation of a free theory with the non-trivial dynamics coming from expanding the Euler invariant in the flow dependent metric. The result is therefore directly obtained in terms of the infrared anomalous dimension confirming an earlier result using the matching of R-currents.
European Physical Journal Web of Conferences
- Pub Date:
- March 2017
- High Energy Physics - Theory;
- High Energy Physics - Phenomenology
- Proceedings for Confinement and Hadron Spectroscopy 2016, 6 pages