On orbifolds and free fermion constructions

@inproceedings{Donagi2008OnOA,
  title={On orbifolds and free fermion constructions},
  author={Ron Donagi and Katrin Wendland},
  year={2008}
}
This work develops the correspondence between orbifolds and free fermion models. A complete classification is obtained for orbifolds X/G with X the product of three elliptic curves and G an abelian extension of a group (Z2) 2 of twists acting on X. Each such quotient X/G is shown to give a geometric interpretation to an appropriate free fermion model, including the geometric NAHE+ model. However, the semi-realistic NAHE free fermion model is proved to be non-geometric: its Hodge numbers are not… CONTINUE READING