The quantum geometry 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.

6 pages; uses ws-proc style; contribution to the proceedings of The XXIX International Colloquium on Group-Theoretical Methods in Physics, August 20-26, 2012, Chern Institute of Mathematics, Tianjin, China