N=1 Euler Anomaly from RG-dependent metric-Background
Higgs Centre for Theoretical Physics, School of Physics and Astronomy, University of Edinburgh, Edinburgh EH9 3JZ, Scotland
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Published online: 22 March 2017
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.
© The Authors, published by EDP Sciences, 2017
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