The conformal supercurrents in diverse dimensions and conserved superconformal currents

TL;DR

This paper generalizes the construction of conserved currents from energy-momentum tensors and conformal Killing vectors to superconformal theories across multiple dimensions with varying supersymmetry, using superspace methods.

Contribution

It introduces a unified framework for deriving superconformal currents in diverse dimensions and supersymmetry settings through superspace techniques.

Findings

Constructed superconformal currents in 3, 4, 5, and 6 dimensions.

Extended the classical conformal current construction to supersymmetric theories.

Provided a systematic approach applicable to various supersymmetric models.

Abstract

Given a conserved and traceless energy-momentum tensor and a conformal Killing vector, one obtains a conserved current. We generalise this construction to superconformal theories in three, four, five and six dimensions with various amounts of supersymmetry by working in the appropriate superspaces.