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

We review physics of light pseudoscalars (axions, majorons and familons) and their effects
in cosmology. The axions which solve the strong CP problem play important roles in …

Symmetry plays a central role in quantum field theory. Recent developments include
symmetries that act on defects and other subsystems, and symmetries that are categorical …

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 …

We analyze pairing of fermions in two dimensions for fully gapped cases with broken parity
(P) and time reversal (T), especially cases in which the gap function is an orbital angular …

We systematically study topological phases of insulators and superconductors (or
superfluids) in three spatial dimensions. We find that there exist three-dimensional (3D) …

We show that the fundamental time-reversal invariant (TRI) insulator exists in 4+ 1
dimensions, where the effective-field theory is described by the (4+ 1)-dimensional Chern …

It has recently been shown that in every spatial dimension there exist precisely five distinct
classes of topological insulators or superconductors. Within a given class, the different …

There are fundamental relations between three vast areas of physics: particle physics,
cosmology and condensed matter physics. The fundamental links between the first two …

Topological charge changing transitions can induce chirality in the quark-gluon plasma by
the axial anomaly. We study the equilibrium response of the quark-gluon plasma in such a …