D=10, N=1 Supergravity and Second Order String Corrections
  We solve the non-minimal case of string corrected D=10, N=1 Supergravity as the low energy limit of string theory. We find a consistent set of solutions to the Bianchi identities in the H sector, and we also find the torsions and curvatures at second order in the string slope parameter. In so doing we solve a long standing problem in the non minimal case of the perturbative expansion. 
D. O'Reilly