10D Supergravity Numerical Data Sets for L & R Matrices

After reviewing the development of 10D, superspace theories, and their relations to superstring and heterotic string theories, explicit calculations are undertaken in the on-shell $\mathcal{N}$ = 1 linearized supergravity, the associated super-current is derived, and non-closure terms are explicitly given. The $L_{\mathrm{I}}$ and $R_{\mathrm{I}}$ adjacency matrices are then computed in complete numerical form as data sets. This is the preliminary step required to perform a scan to embed the on-shell matrices into off-shell ones.