Orateur
Sabine Harribey
(CPHT Ecole Polytechnique - Heidelberg University)
Description
Tensors models exhibit a melonic large $N$ limit, simpler that the planar limit of random matrices but richer that the limit of vector models. In d dimensions, they give rise to a new family of conformal field theories and provide interesting examples of the renormalization group flow from a free theory in the UV to a melonic large $N$ CFT in the IR. I will present some applications of these properties from random geometry to conformal field theories. I will focus especially on a quartic bosonic tensor model in rank 3 and dimension $d<4$. At leading order in $1/N$ but non perturbatively in the coupling constant, this model exhibit a real infrared stable fixed point.
Author
Sabine Harribey
(CPHT Ecole Polytechnique - Heidelberg University)
