The conformal supercurrents in diverse dimensions and conserved   superconformal currents
  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. 
Yegor Korovin, Sergei M. Kuzenko and Stefan Theisen
hep-th math-ph math.MP