Deformed relativistic symmetry principles

TL;DR

This paper reviews models with deformed relativistic symmetries at the Planck scale, exploring theoretical frameworks, phenomenological implications, and open questions in quantum gravity research.

Contribution

It provides a comprehensive overview of the main models and their features, linking various approaches like Hopf algebras and relative locality.

Findings

Deformed symmetries may lead to observable phenomenological effects.

Hopf algebra frameworks are central to modeling deformed relativistic symmetries.

Open questions remain regarding the full implications and experimental tests.

Abstract

We review the main features of models where relativistic symmetries are deformed at the Planck scale. We cover the motivations and links to other quantum gravity approaches. We describe in some detail the most studied theoretical frameworks, including Hopf algebras, relative locality, and other scenarios with deformed momentum space geometry. We discuss possible phenomenological consequences, and point out current open questions.