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

Vladimir Prochazka; Roman Zwicky

doi:10.1051/epjconf/201713710009

EPJ

a
b
d
e
ap
st
h
plus

Proceedings

Open Access

EPJ Web of Conferences 137, 10009 (2017)
https://doi.org/10.1051/epjconf/201713710009

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

Vladimir Prochazka and Roman Zwicky^a

Higgs Centre for Theoretical Physics, School of Physics and Astronomy, University of Edinburgh, Edinburgh EH9 3JZ, Scotland

^a e-mail: roman.zwicky@ed.ac.uk

Published online: 22 March 2017

Abstract

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 ≡ a_UV − a_IR|_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

This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.