The Tensor Theory Space

Understand

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.