Holonomy Spinfoam models address several of the issues left open by EPRL and I suspect HS could become the new "EPRL" phenomenon: the new Loop pace-setter, instead of another strong candidate (Twistor Networks) we were discussing in another thread. I'm pretty sure that anyone who wants to follow Loop gravity research would be well advised to read Hellmann Kaminski 1210.5276 and get prepared to understand Dittrich's ILQGS talk on 27 November. So I'll list some titles and links in this thread. But also it would be very interesting if someone disagrees and thinks that some other reformulation of LQG that is currently being actively pursued has a better chance and could make a stronger showing at the upcoming Loops 2013 conference. I should emphasize, if what I just said doesn't make it clear enough, that the topic here is nearterm Loop gravity development---in particular the 9 months from now until the 2013 Loops conference. It's a fast moving field and I'm skeptical of anyone (including me) pretending to see its longterm future. First of all here's the main paper. http://arxiv.org/abs/1210.5276 Geometric asymptotics for spin foam lattice gauge gravity on arbitrary triangulations Frank Hellmann, Wojciech Kaminski (Submitted on 18 Oct 2012) We study the behavior of holonomy spin foam partition functions, a form of lattice gauge gravity, on generic 4d-triangulations using micro local analysis. To do so we adapt tools from the renormalization theory of quantum field theory on curved space times. This allows us, for the first time, to study the partition function without taking any limits on the interior of the triangulation. We establish that for many of the most widely used models the geometricity constraints, which reduce the gauge theory to a geometric one, introduce strong accidental curvature constraints. These limit the curvature around each triangle of the triangulation to a finite set of values. We demonstrate how to modify the partition function to avoid this problem. Finally the new methods introduced provide a starting point for studying the regularization ambiguities and renormalization of the partition function. 4+6 pages, 1 figure edit: I just realized, thanks to Atyy pointing it out, that I mistakenly typed "tensor" in the title when I intended "twistor".