Heterotic orbifold models on Lie lattice with discrete torsion

@article{Takahashi2007HeteroticOM,
  title={Heterotic orbifold models on Lie lattice with discrete torsion},
  author={Kei-jiro Takahashi},
  journal={arXiv: High Energy Physics - Theory},
  year={2007}
}
We provide a new class of Z_N x Z_M heterotic orbifolds on non-factorisable tori, whose boundary conditions are defined by Lie lattices. Generally, point groups of these orbifolds are generated by Weyl reflections and outer automorphisms of the lattices. We classify abelian orbifolds with and without discrete torsion. Then we find that some of these models have smaller Euler numbers than those of models on factorisable tori T^2 x T^2 x T^2. There is a possibility that these orbifolds provide… 

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