Integer superspin supercurrents of matter supermultiplets

Understand

In recent papers we demonstrated that consistent and non-trivial \emph{linear} transformations of matter supermultiplets generate half-integer superspin supercurrents and the cubic interactions between matter and half-integer superspin supermultiplets.

• In this work we show that consistent and non-trivial \emph{antilinear} transformations of matter superfields lead to the construction of integer superspin supercurrents and the cubic interactions between mater and integer superspin supermultiplets.
• Applying Noether's method to these transformations, we find new integer superspin supercurrents for the case of a free massless chiral superfield.
• Furthermore, we use them to find new integer superspin supercurrent multiplets for a massive chiral superfield and a chiral superfield with a linear superpotential.