4 papers
Bootstrapping Tensor Integrals
Nathan Pagliaroli, Carlos I. Pérez-Sánchez, Brayden Smith
This work proposes a bootstrapping with positivity methodology to study random invariant tensors in the large limit. As has been done for invariant random mat…
The full Schwinger-Dyson tower for random tensor models
Carlos I. Perez-Sanchez
We treat random rank- tensor models as -dimensional quantum field theories---tensor field theories (TFT)---and review some of their non-perturbative methods. We classify the…
Correlation functions of -tensor models and their Schwinger-Dyson equations
Romain Pascalie, Carlos I. Pérez-Sánchez, Raimar Wulkenhaar
We analyse the correlation functions of -tensor models (or complex tensor models), which turn out to be classified by boundary graphs, and use the Ward-Takahashi ide…
Surgery in colored tensor models
Carlos I. Pérez-Sánchez
Rooted in group field theory and matrix models, random tensor models are a recent background-invariant approach to quantum gravity in arbitrary dimensions. Colored tensor models (C…