Algebraic Structure of Superconvergence Relations

How to express superconvergence relations for pion scattering as statements about the generators $X_a$ of chiral SU (2) ⊗ SU (2) is shown. One of the superconvergence relations has a remarkable algebraic significance: The matrix $m{J}_y$ (where $m$ and $\overrightarrow{\mathrm{J}}$ are the mass and spin matrices) is the sum of a chiral scalar and the fourth component of a chiral four-vector.