General form of string corrections to supersymmetry transformation in D=10,N=1 supergravity

We present the O(α'3) heterotic string corrections to the supersymmetry transformation rules of D=10, N=1 supergravity multiplet, which satisfy the on-shell closure of supersymmetry. We also generalize this result to higher orders in α', assuming a natural form of the leading O(α'n) heterotic string corrections to the effective action of the supergravity multiplet. We find no modification to the Killing spinor equations for the gravitino and dilatino at O(α'3) or higher, whenever fermionic condensates are absent. (orig.)