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Discrete torsion in singular $G_2$-manifolds and real LG

Discrete torsion in singular $G_2$-manifolds and real LG

We investigate strings at singularities of GVholonomy manifolds which arise in Z2 orbifolds of Calabi-Yau spaces times a circle.The singularities locally look like E 4 /Z2 fibered over a SLAG, and can globally be embedded in CICYs in weighted projective spaces.The local model depends on the choice of a discrete …