Dark Matter in a twisted bottle

A bstract 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 o...

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Bibliographic Details
Published in:The journal of high energy physics 2013-01, Vol.2013 (1), p.1-44, Article 147
Main Authors: Arbey, Alexandre, Cacciapaglia, Giacomo, Deandrea, Aldo, Kubik, Bogna
Format: Article
Language:English
Subjects:
Astrophysics
Bottles
Boundaries
Classical and Quantum Gravitation
Dark matter
Elementary Particles
High Energy Astrophysical Phenomena
High energy physics
High Energy Physics - Phenomenology
Origins
Physics
Physics and Astronomy
Planes
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Relativity Theory
Sciences of the Universe
Splitting
String Theory
Symmetry
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Summary:A bstract 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 symmetry partially broken by the compactification. Another important difference is the very small mass splitting between the particles of a given Kaluza-Klein tier, which gives a very important role to co-annihilation effects. Finally the role of higher Kaluza-Klein tiers is also important and is discussed together with a detailed numerical description of the influence of the resonances.
ISSN:1029-8479
1126-6708
1029-8479
DOI:10.1007/JHEP01(2013)147