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Positivity Constraints on Anomalies in Supersymmetric Gauge Theories

D. Anselmi·J. Erlich·D. Z. Freedman·A. Johansen
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Abstract

The relation between the trace and R-current anomalies in supersymmetric theories implies that the U$(1)_RF^2$, U$(1)_R$ and U$(1)_R^3$ anomalies which are matched in studies of N=1 Seiberg duality satisfy positivity constraints. Some constraints are rigorous and others conjectured as four-dimensional generalizations of the Zamolodchikov $c$-theorem. These constraints are tested in a large number of N=1 supersymmetric gauge theories in the non-Abelian Coulomb phase, and they are satisfied in all renormalizable models with unique anomaly-free R-current, including those with accidental symmetry. Most striking is the fact that the flow of the Euler anomaly coefficient, $a_{UV}-a_{IR}$, is always positive, as conjectured by Cardy.

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D. Anselmi, J. Erlich, D. Z. Freedman, A. Johansen. 1997-11-05. Positivity Constraints on Anomalies in Supersymmetric Gauge Theories. https://doi.org/10.1103/physrevd.57.7570

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