Ten questions on Group Field Theory (and their tentative answers)

TL;DR

This paper offers a concise, accessible overview of group field theory for quantum gravity, addressing key questions, recent developments, and its relation to loop quantum gravity, serving as a guide for researchers.

Contribution

It provides a non-technical FAQ summarizing current knowledge, perspectives, and literature on group field theory and its connections to loop quantum gravity.

Findings

Summarizes core concepts of group field theory.

Highlights recent research directions and open questions.

Connects group field theory with loop quantum gravity.

Abstract

We provide a short and non-technical summary of our current knowledge and some possible perspectives on the group field theory formalism for quantum gravity, in the form of a (partial) FAQ (with answers). Some of the questions and answers relate to aspects of the formalism that concern loop quantum gravity. This summary also aims at giving a brief, rough guide to the recent literature on group field theory (and tensor models).