JHEP01(2013)084.pdf (696.43 kB)
Classification of symmetric toroidal orbifolds
journal contribution
posted on 2023-06-15, 20:45 authored by Maximilian Fischer, Michael Ratz, Jesus Torrado Cacho, Patrick K S VaudrevangeWe 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.
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Journal of High Energy PhysicsISSN
1029-8479Publisher
SpringerExternal DOI
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1Volume
2013Department affiliated with
- Physics and Astronomy Publications
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- Yes
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- Yes
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2016-03-15First Open Access (FOA) Date
2016-03-15First Compliant Deposit (FCD) Date
2016-03-15Usage metrics
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