3d Quantum Gravity and Effective Non-Commutative Quantum Field Theory

TL;DR

This paper demonstrates that matter fields interacting with 3d quantum gravity can be effectively described by a braided non-commutative quantum field theory exhibiting kappa-deformed Poincare symmetry.

Contribution

It introduces a novel effective field theory framework capturing matter-gravity interactions in three dimensions with non-commutative and braided structures.

Findings

Matter-gravity coupling leads to a non-commutative quantum field theory.

The resulting theory is symmetric under a kappa-deformed Poincare group.

Provides a new perspective on quantum gravity effects in lower dimensions.

Abstract

We show that the effective dynamics of matter fields coupled to 3d quantum gravity is described after integration over the gravitational degrees of freedom by a braided non-commutative quantum field theory symmetric under a kappa-deformation of the Poincare group.