Here is a set of 100-some slides for a talk Daniele Oriti gave in September 2005 called The Group Field Theory Approach to Quantum Gravity http://www.phy.olemiss.edu/GR/qg05/talks/oriti.pdf The talk was given at this conference in Sardinia: http://www.phy.olemiss.edu/GR/qg05/ This is the 8-page paper representing the talk in the conference proceedings: http://arxiv.org/abs/gr-qc/0512048 Quantum gravity as a group field theory: a sketch Daniele Oriti 8 pages, 9 figures; to appear in the Proceedings of the Fourth Meeting on Constrained Dynamics and Quantum Gravity, Cala Gonone, Italy, September 12-16, 2005 "We give a very brief introduction to the group field theory approach to quantum gravity, a generalisation of matrix models for 2-dimensional quantum gravity to higher dimension, that has emerged recently from research in spin foam models." So far here at PF we haven't discussed GFT approach to QG much. Besides Oriti's one of the main examples of GFT is Laurent Freidel's research. There are various other materials about GFT readily available. For instance there is a Perimeter video of Oriti giving Lecture #21 of the Smolin Lecture series. There the visuals are whatever Oriti writes on the blackboard. These slides cover some of the same material and are graphically very clear. The formats complement. There is also an article by Oriti about this, for publication in a collection of QG essays. have to go, I will fetch the link when I get back should try to say what GFT is and why Oriti and some others favor it.