PIRSA:19050017

Line of fixed points in a bosonic tensor model

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

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

          @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

Talk number
PIRSA:19050017
Collection
Talk Type
Subject
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.