String geometry theory is a candidate of the non-perturbative formulation string theory. In order to determine vacuum, we need clarify how superstring backgrounds are described in this paper, show that all type IIA, IIB, SO(32) I, and $E_8 \times E_8$ heterotic embedded configurations fields single model. Especially, satisfy equations motion model $\alpha' \to 0$ if only supergravities, respect...