Towards Kaluza-Klein Dark Matter on Nilmanifolds

Understand

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.