  We calculate the isovector axial vector form factors of the octet-decuplet
hyperon transitions within the framework of the light-cone QCD sum rules (LCSR)
to leading in QCD and including higher-twist corrections. In particular, we
motivate the most recent version of the $\Sigma$ baryon distribution amplitudes
which are examined up to twist-6 based on conformal symmetry of the massless
QCD Lagrangian.
