Dark Matter in a twisted bottle
Alexandre Arbey, Giacomo Cacciapaglia, Aldo Deandrea, Bogna Kubik

TL;DR
This paper explores a novel universal extra dimensional model based on the real projective plane, analyzing its implications for dark matter stability, mass spectrum, and co-annihilation effects within a six-dimensional framework.
Contribution
It introduces a new UED model on a real projective plane geometry, highlighting unique symmetry origins and small mass splittings affecting dark matter phenomenology.
Findings
Stable dark matter candidate due to geometric symmetry
Small mass splitting enhances co-annihilation effects
Higher Kaluza-Klein tiers significantly influence dark matter relic density
Abstract
The real projective plane is a compact, non-orientable orbifold of Euler characteristic 1 without boundaries, which can be described as a twisted Klein bottle. We shortly review the motivations for choosing such a geometry among all possible two-dimensional orbifolds, while the main part of the study will be devoted to dark matter study and limits in Universal Extra Dimensional (UED) models based on this peculiar geometry. In the following we consider such a UED construction based on the direct product of the real projective plane with the standard four-dimensional Minkowski space-time and discuss its relevance as a model of a weakly interacting Dark Matter candidate. One important difference with other typical UED models is the origin of the symmetry leading to the stability of the dark matter particle. This symmetry in our case is a remnant of the six-dimensional Minkowski space-time…
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