Classification of symmetric toroidal orbifolds

Fischer, Maximilian, Ratz, Michael, Torrado, Jesus and Vaudrevange, Patrick K S (2013) Classification of symmetric toroidal orbifolds. Journal of High Energy Physics, 2013 (1). ISSN 1029-8479

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We provide a complete classification of six-dimensional symmetric toroidal orbifolds which yield N ≥ 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 Z3,Z4,Z6-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 N=1, i.e. specify the Hodge numbers and comment on the possible mechanisms (local or non-local) of gauge symmetry breaking.

Item Type: Article
Schools and Departments: School of Mathematical and Physical Sciences > Physics and Astronomy
Subjects: Q Science > QA Mathematics > QA0440 Geometry. Trigonometry. Topology
Q Science > QC Physics > QC0170 Atomic physics. Constitution and properties of matter Including molecular physics, relativity, quantum theory, and solid state physics
Q Science > QC Physics > QC0770 Nuclear and particle physics. Atomic energy. Radioactivity > QC0793 Elementary particle physics
Depositing User: Jesus Torrado Cacho
Date Deposited: 15 Mar 2016 13:05
Last Modified: 15 Mar 2017 01:59

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