The quantum geometry of tensorial group field theories

TL;DR

This paper discusses the development of tensorial group field theories by incorporating pre-geometric content to better model quantum spacetime, reviewing recent progress in defining and modeling this content.

Contribution

It introduces the importance of adding pre-geometric structures to tensor models, advancing the formalism of tensorial group field theories for quantum spacetime.

Findings

Highlighting the role of pre-geometric content in tensor models

Reviewing recent models incorporating pre-geometric structures

Advancing the formalism of tensorial group field theories

Abstract

We remark the importance of adding suitable pre-geometric content to tensor models, obtaining what has recently been called tensorial group field theories, to have a formalism that could describe the structure and dynamics of quantum spacetime. We also review briefly some recent results concerning the definition of such pre-geometric content, and of models incorporating it.