This review elaborates pedagogically on the fundamental concept, basic theory, expected
properties, and materials realizations of topological superconductors. The relation between …

Symmetry-protected topological (SPT) phases of matter have been interpreted in terms of
anomalies, and it has been expected that a similar picture should hold for SPT phases with …

A bstract It is known that the't Hooft anomalies of invertible global symmetries can be
characterized by an invertible TQFT in one higher dimension. The analogous statement …

A bstract In axion-Maxwell theory at the minimal axion-photon coupling, we find non-
invertible 0-and 1-form global symmetries arising from the naive shift and center symmetries …

We propose the Symmetry topological field theory (TFT) for theories with a U (1) symmetry in
arbitrary dimension. The Symmetry TFT describes the structure of the symmetry, its …

A bstract It is widely believed that consistent theories of quantum gravity satisfy two basic
kinematic constraints: they are free from any global symmetry, and they contain a complete …

We present a general approach for detecting when a fusion category symmetry is
anomalous, based on the existence of a special kind of Lagrangian algebra of the …

A bstract We review the properties of orbifold operations on two-dimensional quantum field
theories, either bosonic or fermionic, and describe the “Orbifold groupoids” which control the …