Random tensors generalize random matrices to objects with d>2 indices. Feynman expansions in tensor models generate sums over triangulations of spaces in dimension d. Such models have been actively developed and solved in Perimeter Institute in the past two years. I will present the main results we have obtained: universality at large N, the continuum limit and critical behaviors, and a new algebra which generalizes the Virasoro algebra found in matrix models and provides gluing rules for triangulations in dimension d.

Perimeter Institute