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Gauging (3+1)-dimensional topological phases: An approach from surface theories

Gauging (3+1)-dimensional topological phases: An approach from surface theories

We discuss several bosonic topological phases in (3+1) dimensions enriched by a global ${\mathbb{Z}}_{2}$ symmetry, and gauging the ${\mathbb{Z}}_{2}$ symmetry. More specifically, following the spirit of the bulk-boundary correspondence, expected to hold in topological phases of matter in general, we consider boundary (surface) field theories and their orbifold. From the …