Hořava–Witten theory on $S^1 \vee S^1$ as type 0 orientifold
1 : Instituto de Física Teórica UAM/CSIC
(IFT)
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We study dualities between $\mathbb{Z}_2$ quotients of M-theory compactifications on quantum geometries of the form $S^1 \vee S^1$ and ten-dimensional orientifolds of type 0A and 0B string theory. Starting from the Hořava–Witten setup on this quantum geometry, we construct an explicit dictionary relating it to the type 0B orientifold with gauge group $SO(16)^4$.
The resulting correspondence provides a geometric interpretation of characteristic features of the 0B orientifold. We further show that two inequivalent variants of the construction arise, corresponding to equal and opposite orientations of the $E_8$ boundaries in the Hořava–Witten picture.
Finally, we discuss additional type 0A and 0B orientifolds whose open string sectors do not descend from higher-dimensional gauge fields in M-theory and whose microscopic interpretation remains an open problem.
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