# Line of fixed points in a bosonic tensor model

### APA

Harribey, S. (2019). Line of fixed points in a bosonic tensor model. Perimeter Institute. https://pirsa.org/19050017

### MLA

Harribey, Sabine. Line of fixed points in a bosonic tensor model. Perimeter Institute, May. 16, 2019, https://pirsa.org/19050017

### BibTex

@misc{ pirsa_PIRSA:19050017, doi = {10.48660/19050017}, url = {https://pirsa.org/19050017}, author = {Harribey, Sabine}, keywords = {Quantum Gravity}, language = {en}, title = {Line of fixed points in a bosonic tensor model}, publisher = {Perimeter Institute}, year = {2019}, month = {may}, note = {PIRSA:19050017 see, \url{https://pirsa.org}} }

Sabine Harribey Nordic Institute for Theoretical Physics

## Abstract

Tensor models exhibit a melonic large $N$ limit: this is a non trivial family of Feynman graphs that can be explicitly summed in many situations. 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.

We consider here a bosonic tensor model in rank three and $d<4$ dimensions. After giving a short introduction to tensor models, I will present the renormalization group flow of the model. At leading order in $1/N$ but non perturbatively in the coupling constants, we found a real and infrared fixed point.