The Supercurrent In Supersymmetric Field Theories

TL;DR

This paper constructs a supercurrent superfield in N=1 supersymmetric gauge theories, highlighting the conditions for R-symmetry breaking and unbroken R-symmetry, with implications for understanding conserved currents in these theories.

Contribution

It provides a general form of the supercurrent superfield including R-symmetry breaking and identifies models with unbroken R-symmetry, especially those with non-linear gauge symmetry realization.

Findings

Supercurrent superfield includes conserved energy-momentum and supersymmetry currents.

Conditions for R-symmetry breaking and unbroken R-symmetry are characterized.

Identification of models with non-linear gauge symmetry and vanishing R-weight.

Abstract

A supercurrent superfield whose components include a conserved energy-momentum tensor and supersymmetry current as well as a (generally broken) R-symmetry current is constructed for a generic effective N=1 supersymmetric gauge theory. The general form of the R-symmetry breaking is isolated. Included within the various special cases considered is the identification of those models which exhibit an unbroken R-symmetry. One such example corresponds to a non-linearly realized gauge symmetry where the chiral field R-weight is required to vanish.