2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/198892We construct the N=1 supergravity analog of the Green-Schwarz and heterotic superstring theories in 10D. We find the SO(8) theory previously found by compactification of 10D on $K3$. We also find eleven $G_2\times G_2$ theories, two with symmetric matter content. It is not obvious how ten of the $G_2\times G_2$ theories can be gotten from 10D.7 Pages; uses Scientific Word style files. To appear in Phys. Lett. BHigh Energy Physics - Theorytext