Positivity Constraints on Anomalies and Supersymmetry

1998/07/29 by A. Johansen, Johansen, A.
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/9807224

8 pages, uses sprocl.sty, talk given at PASCOS-98

arxiv created 1998/07/29 · arxiv updated 2009/11/30

Abstract

The relation between the trace and R-current anomalies in 4D supersymmetric theories implies that the U(1)_RF², U(1)_R and U(1)³_R anomalies which matched in studies of N=1 Seiberg duality satisfy positivity constraints. 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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