Correlation functions for colored tensor models and their Schwinger Dyson Equations
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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.