The relation between the trace and R-current anomalies in supersymmetric theories implies that the U(1)(R)F-1, 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.
Autori interni: | |
Autori: | Anselmi D; Erlich J; Freedman DZ; Johansen AA |
Titolo: | Positivity constraints on anomalies in supersymmetric gauge theories |
Anno del prodotto: | 1998 |
Digital Object Identifier (DOI): | 10.1103/PhysRevD.57.7570 |
Appare nelle tipologie: | 1.1 Articolo in rivista |