Non-Abelian bosonization of topological insulators and superconductors

Applying the method of [Nucl. Phys. B 972, 115565 (2021)], which bosonizes massless relativistic free fermions, we derive the (non-Abelian) bosonized theory for free fermion topological insulators and supercon-ductors that have, in addition to the U(1) charge, time reversal and charge conjugation symmetries and flavor symmetries. For the case we consider, the flavor symmetries render the topological classification Z. The results are nonlinear cr models with the topological 0 term. In addition, we present the theory of a class of bosonic symmetry-protected topological states, whose boundaries are critical spin liquids.

Automated summary

Applying the method of bosonization, we derive the bosonized theory for free fermion topological insulators and superconductors with time reversal, charge conjugation, and flavor symmetries. We also present the theory of a class of bosonic symmetry-protected topological states.