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Free keywords:
High Energy Physics - Theory, hep-th,High Energy Physics - Phenomenology, hep-ph,Mathematics, Spectral Theory, math.SP
Abstract:
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.