  This note is a sequel to the previous series "Tensor Track I-III". Assuming
some familiarity with the tensor track approach to quantum gravity, we provide
a brief introduction to the developments of the last two years and to their
corresponding bibliography. They center around understanding the interface
between random matrices and random tensors through the intermediate field
representation, finding new types of $1/N$ expansions by enhancing sub-leading
tensor interactions, exploring the renormalization group flows in the tensor
theory space, and developing the constructive aspects of the theory.
