EPJ Web of Conferences (Jan 2017)

N=1 Euler Anomaly from RG-dependent metric-Background

  • Prochazka Vladimir,
  • Zwicky Roman

DOI
https://doi.org/10.1051/epjconf/201713710009
Journal volume & issue
Vol. 137
p. 10009

Abstract

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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.