The physics of Anderson transitions between localized and metallic phases in disordered
systems is reviewed. The term “Anderson transition” is understood in a broad sense …

The idea of dynamical gauge bosons of hidden local symmetries in nonlinear sigma models
is reviewed. Starting with a fresh look at the Goldstone theorem and low energy theorems …

It is shown that 2+ 1 dimensional quantum Yang-Mills theory, with an action consisting
purely of the Chern-Simons term, is exactly soluble and gives a natural framework for …

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 …

Twenty-five years ago, Michael Green, John Schwarz, and Edward Witten wrote two
volumes on string theory. Published during a period of rapid progress in this subject, these …

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 …

Applications of conformal field theory to the theory of fractional quantum Hall systems are
discussed. In particular, Laughlin's wave function and its cousins are interpreted as …

Presenting the physics of the most challenging problems in condensed matter using the
conceptual framework of quantum field theory, this book is of great interest to physicists in …

We provide an overview of the string landscape and the Swampland program. Our review of
the string landscape covers the worldsheet and spacetime perspectives, including vacua …

A bstract We revisit the symmetries of massless two-dimensional adjoint QCD with gauge
group SU (N). The dynamics is not sufficiently constrained by the ordinary symmetries and …