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

Tensor Models, from branched polymers to Brownian spheres

26 Mar 2015, 16:20
50m
132:028 (Nordita, Stockholm)

132:028

Nordita, Stockholm

Speaker

Vincent Rivasseau

Description

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