Orateur
Description
Tensor models, seen as quantum field theoretical models, represent a natural generalization of the celebrated 2-dimensional matrix models, intensively studied in combinatorics, mathematical or 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. I will then present some recent double scaling results for tensor models.
In the last part of the talk I will show how tensor models have been related (initially by Witten and then by Klebanov and Tarnopolsky) to the Sachdev-Ye-Kitaev model, which is known to be a toy model for holography.