The Tensor Track: an Update

TL;DR

This paper reviews recent progress in tensor group field theories (TGFTs), a promising approach to quantum gravity, and proposes guidelines inspired by Euclidean QFT axioms to identify interesting models.

Contribution

It provides an update on the tensor track approach to quantum gravity and introduces criteria for selecting promising TGFT models.

Findings

Summary of recent advances in TGFTs

Proposed guidelines for model selection

Identification of desirable properties for TGFTs

Abstract

The tensor track approach to quantum gravity is based on a new class of quantum field theories, called tensor group field theories (TGFTs). We provide a brief review of recent progress and list some desirable properties of TGFTs. In order to narrow the search for interesting models, we also propose a set of guidelines for TGFT's loosely inspired by the Osterwalder-Schrader axioms of ordinary Euclidean QFT.