Introduction to Doubly Special Relativity

Abstract

In these notes, based on the lectures given at 40th Winter School on Theoretical Physics, I review some aspects of Doubly Special Relativity (DSR). In particular, I discuss relation between DSR and quantum gravity, the formal structure of DSR proposal based on $\kappa$-Poincaré algebra and non-commutative $\kappa$-Minkowski space-time, as well us some results and puzzles related to DSR phenomenology.

37 pages, submitted to Lecture Notes in Physics

References in corpus (2)

• Topological excitations around the vacuum of quantum gravity I: The symmetries of the vacuum
• Operational indistinguishabilty of doubly special relativities from special relativity

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• Constraints on Lorentz invariance violation from the LHAASO observation of GRB 221009A
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• Searching Lorentz invariance violation from cosmic photon attenuation
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• Maximally extended sl(2|2), q-deformed d(2,1;epsilon) and 3D kappa-Poincaré
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• Differential forms and k-Minkowski spacetime from extended twist
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• A bound on Planck-scale modifications of the energy-momentum composition rule from atomic interferometry
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• A short introduction to $\kappa$-deformation
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