Notes on tensor models and tensor field theories

Tensor models and tensor field theories admit a $1/N$ expansion melonic large $N$ limit which is simpler than the planar of random matrices richer vector models. They provide examples analytically tractable but non-trivial strongly coupled quantum lead to new class conformal theories. We present compact introduction topic, covering both some classical results in field, like details expansion, as well recent developments. These notes are loosely bases on four lectures given at Journées de physique mathématique Lyon 2019: Random tensors SYK