A brief overview of quantum field theory with deformed symmetries and their relation with quantum gravity

TL;DR

This paper explores quantum field theories with deformed symmetries, specifically quantum groups, as models for low-energy quantum gravity effects, highlighting potential Planck-scale phenomena.

Contribution

It introduces the k-Poincare framework as a toy model for quantum gravity, emphasizing the role of quantum group symmetries in quantum field theory.

Findings

Quantum group symmetries can be incorporated into quantum field theories.

The k-Poincare framework serves as a simplified model for quantum gravity effects.

Planck-scale suppressed effects are physically relevant in this context.

Abstract

In this letter we outline some reasons for considering a quantum field theory symmetric under quantum groups and we sketch some results obtained with collaborators in the k-Poincare framework. We deal with this latter as a toy model towards an effective and low-energy theory of quantum gravity, the new physically relevant effects of which are Planck-scale suppressed.