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PIRSA:19050017

Line of fixed points in a bosonic tensor model

APA

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

Sabine Harribey Dublin Institute For Advanced Studies

Talk numberPIRSA:19050017
Source RepositoryPIRSA
Collection

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.