Mapping Anomalous Currents in Supersymmetric Dualities

TL;DR

This paper develops a new, RG-independent method to map anomalous currents and gaugino bilinears from ultraviolet to infrared in supersymmetric theories, enhancing understanding of strongly-coupled dynamics.

Contribution

It introduces a novel approach to map anomalous currents in supersymmetric dualities, independent of renormalization group subtleties, demonstrated through multiple examples.

Findings

The method simplifies UV/IR operator mapping in supersymmetric theories.

It applies to various dynamics, showing the approach's broad utility.

Potential applications include soft breaking effects and electroweak symmetry models.

Abstract

In many strongly-coupled systems, the infrared dynamics is described by different degrees of freedom from the ultraviolet. It is then natural to ask how operators written in terms of the microscopic variables are mapped to operators composed of the macroscopic ones. Certain types of operators, like conserved currents, are simple to map, and in supersymmetric theories one can also follow the chiral ring. In this note, we consider supersymmetric theories and extend the mapping to anomalous currents (and gaugino bilinears). Our technique is completely independent of subtleties associated with the renormalization group, thereby shedding new light on previous approaches to the problem. We demonstrate the UV/IR mapping in several examples with different types of dynamics, emphasizing the uniformity and simplicity of the approach. Natural applications of these ideas include the effects of soft breaking on the dynamics of various theories and new models of electroweak symmetry breaking.