Dual RG flows in 4D
Steven Abel, Borut Bajc, Francesco Sannino
TL;DR
This paper introduces a method to track the flow of strongly coupled supersymmetric theories using the a central charge, by linking it to weakly coupled dual descriptions through a scale-dependent analysis.
Contribution
It provides a novel prescription connecting the a central charge to the RG flow in strongly coupled supersymmetric theories via duality and amplitude analysis.
Findings
Demonstrates equivalence of a-parameters in free N=1 superfields
Shows consistency with weakly coupled SQCD
Establishes a method for analyzing strongly coupled theories
Abstract
We present a prescription for using the a central charge to determine the flow of a strongly coupled supersymmetric theory from its weakly coupled dual. The approach is based on the equivalence of the scale-dependent a-parameter derived from the four-dilaton amplitude with the a-parameter determined from the Lagrange multiplier method with scale-dependent R-charges. We explicitly demonstrate this equivalence for massive free N=1 superfields and for weakly coupled SQCD.
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