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.
