Tensor models, seen as quantum field theoretical models, represent a natural generalization of the celebrated 2-dimensional matrix models. These matrix models are known to be connected to various domains of theoretical physics. One of the main results of the study of matrix models is that their perturbative series can be reorganized in powers of 1/N (N being the matrix size). In the first part of this talk I will present such a 1/N expansion for some 3-dimensional tensor models. In the second part of the talk, I will show how Witten related tensor models to the celebrated AdS/CFT Sachdev-Ye-Kitaev (SYK) model. Finally, I will present some further results I have recently obtained when comparing the perturbative series of tensor models and of the SYK model.

Coffee: 1:45 pm, 241 Compton