  The Light-cone distribution amplitudes (LCDAs) of the $\Sigma^\pm$ baryons up
to twist six are investigated on the basis of QCD conformal partial wave
expansion approach. The calculations are carried out to the next-to-leading
order of conformal spin accuracy. The nonperturbative parameters relevant to
the LCDAs are determined in the framework of the QCD sum rule method. The
explicit expressions of the LCDAs are given as the main results.
