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Towards Kaluza-Klein dark matter on nilmanifolds. (English) Zbl 1390.83306

Summary: We present a first study of the field spectrum on a class of negatively-curved compact spaces: nilmanifolds or twisted tori. This is a case where analytical results can be obtained, allowing to check numerical methods. We focus on the Kaluza-Klein expansion of a scalar field. The results are then applied to a toy model where a natural Dark Matter candidate arises as a stable massive state of the bulk scalar.

MSC:

83E15 Kaluza-Klein and other higher-dimensional theories

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