Mar 23 – 27, 2015
Nordita, Stockholm
Europe/Stockholm timezone

Tensor Models, from branched polymers to Brownian spheres

Mar 26, 2015, 4:20 PM
132:028 (Nordita, Stockholm)


Nordita, Stockholm


Vincent Rivasseau


Ordinary tensor models of rank D ≥ 3 are dominated at large N by tree-like graphs, known as melonic triangulations. We shall show that non-melonic contributions can be enhanced consistently, leading to different types of large N limits. For instance the most generic quartic tensor model at rank 4, with maximally enhanced non-melonic interactions, displays a branched polymer phase and a 2D quantum gravity phase, and a transition between them whose entropy exponent is positive. This work is in collaboration with V. Bonzom and T. Delepouve.

Presentation materials