Abstract
We provide a complete classification of six-dimensional symmetric toroidal orbifolds which yield \( \mathcal{N}\geq 1 \) 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 \( {{\mathbb{Z}}_3},{{\mathbb{Z}}_4},{{\mathbb{Z}}_6}\hbox{-}\mathrm{I} \) 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 \( \mathcal{N}=1 \), i.e. specify the Hodge numbers and comment on the possible mechanisms (local or non-local) of gauge symmetry breaking.
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ArXiv ePrint: 1209.3906
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Fischer, M., Ratz, M., Torrado, J. et al. Classification of symmetric toroidal orbifolds. J. High Energ. Phys. 2013, 84 (2013). https://doi.org/10.1007/JHEP01(2013)084
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DOI: https://doi.org/10.1007/JHEP01(2013)084