Nonperturbative definition of the standard models

This works aims to provide a quantum nonperturbative definition of chiral fermions coupled to gauge theories without fermion doubling. The authors show that if a quantum field theory is free of all perturbative local anomalies and nonperturbative global anomalies, then it can be regarded as the boundary theory of the trivial symmetric interacting invertible topological orders with a trivial cobordism invariant.