The Tensor Track: an Update

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.

12 pages, 1 figure. This paper is based on a talk given at the XXIX International Colloquium on Group-Theoretical Methods in Physics in Tian-Jin (China), very minor changes