Correlation functions for colored tensor models and their Schwinger Dyson Equations

40th LQP Workshop "Foundations and Constructive Aspects of QFT"
Carlos I. Pérez Sánchez on June 24, 2017

Tensor models are a random geometry framework that generalizes, to arbitrary dimension, matrix models. They are used to model quantum gravity but, lately, some applications to AdS/CFT were discovered. Colored tensor models generate random orientable geometries. We scrutinize their correlation functions and briefly give their geometric interpretation in terms of bordisms. Based on a Ward-Takahashi identity, we give the Schwinger-Dyson Equations they obey. We work non-perturbatively.