Variant supercurrents and Noether procedure

TL;DR

This paper explores the relationship between different supercurrent multiplets in 4D N=1 supergravity, comparing the hierarchy of supercurrents with those derived via the Noether procedure, and applies the method to nonlinear sigma-models.

Contribution

It establishes a detailed correspondence between supercurrent multiplets obtained from supergravity models and those derived through the Noether procedure, clarifying their interrelations.

Findings

Identifies the connection between supercurrent hierarchies and Noether-derived supercurrents.

Shows the Noether procedure naturally yields the S-multiplet in nonlinear sigma-models.

Clarifies the structure of supercurrents in linearized supergravity models.

Abstract

Consistent supercurrent multiplets are naturally associated with linearized off-shell supergravity models. In arXiv:1002.4932 we presented the hierarchy of such supercurrents which correspond to all the models for linearized 4D N = 1 supergravity classified a few years ago. Here we analyze the correspondence between the most general supercurrent given in arXiv:1002.4932 and the one obtained eight years ago in hep-th/0110131 using the superfield Noether procedure. We apply the Noether procedure to the general N = 1 supersymmetric nonlinear sigma-model and show that it naturally leads to the so-called S-multiplet, revitalized in arXiv:1002.2228.