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We study a class of 6d $\mathcal{N}=(1,0)$ non-geometric vacua of the$\text{Spin}(32)/\mathbb Z_2$ heterotic string which can be understood asfibrations of genus-two curves over a complex one-dimensional base. The 6d$\mathcal{N}=(1,0)$ theories living on the defects that arise when thegenus-two fiber degenerates at a point of the base are analyzed by dualizing toF-theory on elliptic K3-fibered non-compact Calabi-Yau threefolds. We considerall possible degenerations of genus-two curves and systematically attempt toresolve the singularities of the dual threefolds. As in the analogousnon-geometric vacua of the $E_8\times E_8$ heterotic string, we find that manyof the resulting dual threefolds contain singularities which do not admit acrepant resolution. When the singularities can be resolved crepantly, wedetermine the emerging effective theories which turn out to be little stringtheories at a generic point on their tensor branch. We also observe a form ofduality in which theories living on distinct defects are the same.

Non-Geometric Vacua of the $\mathbf{\text{Spin}(32)/\mathbb Z_2}$ Heterotic String and Little String Theories