  The tensor track is a background-independent discretization of quantum
gravity which includes a sum over all topologies. We discuss how to define a
functional renormalization group flow and the Wetterich equation in the
corresponding theory space. This space is different from the Einsteinian theory
space of asymptotic safety. It includes all fixed-rank tensor-invariant
interactions, hence generalizes matrix models and the (Moyal) non-commutative
field theory space.
