We derive closed recursion equations for the symmetric polynomials occuring in the form factors of $D_n^{ (1)}$ affine Toda field theories. These equations follow from kinematical- and bound state residue equations for the full form factor. We also discuss the equations arising from second and third order forward channel poles of the S-matrix. The highly symmetric case of $D_4^{ (1)}$ form factors is treated in detail. We calculate explicitly cases with a few particles involved.
Categories: hep-th