R-symmetry

An R-symmetry acts nontrivially on the supersymmetry generators. In four-dimensional N=1 supersymmetry, the superspace coordinate $\theta$ has R-charge one, so a superpotential must have R-charge two.

R-charge is the charge under a continuous R-symmetry. In four-dimensional N=1 supersymmetry, the fermion in a chiral multiplet has R-charge one less than its scalar, and every superpotential term has R-charge two.

A scalar chiral primary operator at a four-dimensional N=1 superconformal fixed point saturates a shortening bound and obeys $\Delta =3R/2$.

In two-dimensional N=(2,2) supersymmetry, vector R-symmetry rotates ${\theta }^{+}$ and ${\theta }^{-}$ with the same phase. A chiral superspace measure has vector R-charge minus two.

In two-dimensional N=(2,2) supersymmetry, axial R-symmetry rotates ${\theta }^{+}$ and ${\theta }^{-}$ with opposite phases. A twisted chiral superspace measure has axial R-charge minus two.