Comments on Supercurrent Multiplets, Supersymmetric Field Theories and Supergravity

Understand

We analyze various supersymmetry multiplets containing the supercurrent and the energy-momentum tensor.

• The most widely known such multiplet, the Ferrara-Zumino (FZ) multiplet, is not always well-defined.
• This can happen once Fayet-Iliopoulos (FI) terms are present or when the Kahler form of the target space is not exact.
• We present a new multiplet S which always exists.