[Mathematical Physics Seminar]
Giulia Gubitosi (Radboud University, Nijmegen)
Deformed relativistic symmetries, curved momentum space and relative locality
I will illustrate some of the most relevant features of models where the Planck scale governs deformations of relativistic symmetries, taking as working examples the k-Poincaré Hopf algebra and its generalisations including a cosmological constant (k-de Sitter). In particular, I will show that deformed relativistic symmetries imply that conservation rules in interaction vertices are nontrivial and that the concept of locality needs to be generalised, becoming observer dependent. Moreover, I will show that the momentum space compatible with k-Poincaré symmetries has the geometry of a de Sitter manifold and that the same conclusion can be reached for the k-de Sitter model, where however the momentum space comprises the dual momenta to the boost generators besides the momenta that are dual to the translation generators.
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