Anomaly computation for symmetry-enriched topological states of bosons

Absolute anomalies in (2+1)D symmetry-enriched topological states and exact (3+1)D constructions

Symmetry-enriched topological states of bosons can possess anomalous patterns of symmetry fractionalization, which means that they possess an obstruction to being realized in purely (2+1)d. in this paper we demonstrate how to compute the anomaly for symmetry-enriched topological states of bosons in complete generality.We present an exactly solvable model for the system and demonstrate explicitly a (2+1)d symmetric surface termination that hosts deconfined anyon excitations described by the given symmetry fractionalization class.We present concrete algorithms that can be used to compute anomaly indicators in general.