Doubly Special Relativity: facts and prospects

TL;DR

This paper reviews Doubly Special Relativity, exploring its connections to quantum gravity, the emergence of Hopf algebra symmetries in curved momentum space, and discusses its phenomenological implications and open challenges.

Contribution

It provides a concise overview of DSR's relation to quantum gravity, symmetry structures, and phenomenology, highlighting recent developments and open issues.

Findings

Hopf algebra symmetries naturally emerge in curved momentum space

DSR relates closely to quantum gravity theories

Open problems in DSR phenomenology are identified

Abstract

In this short review of Doubly Special Relativity I describe first the relations between DSR and (quantum) gravity. Then I show how, in the case of a field theory with curved momentum space, the Hopf algebra of symmetries naturally emerges. I conclude with some remarks concerning DSR phenomenology and description of open problems.