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Classification of symmetric toroidal orbifolds
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Journal Article
Classification of symmetric toroidal orbifolds
2013
Overview
A
bstract
We provide a complete classification of six-dimensional symmetric toroidal orbifolds which yield
supersymmetry in 4D for the heterotic string. Our strategy is based on a classification of crystallographic space groups in six dimensions. We find in total 520 inequivalent toroidal orbifolds, 162 of them with Abelian point groups such as
etc. and 358 with non-Abelian point groups such as
S
3
,
D
4
,
A
4
etc. We also briefly explore the properties of some orbifolds with Abelian point groups and
, i.e. specify the Hodge numbers and comment on the possible mechanisms (local or non-local) of gauge symmetry breaking.
