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 …

In this review article, we describe the role of holography in deciphering the physics of dense
QCD matter, relevant for the description of compact stars and their binary mergers. We …

It is customary to couple a quantum system to external classical fields. One application is to
couple the global symmetries of the system (including the Poincar\'{e} symmetry) to …

A bstract We study SU (N) Quantum Chromodynamics (QCD) in 3+ 1 dimensions with N f
degenerate fundamental quarks with mass m and a θ-parameter. For generic m and θ the …

The center-flavor symmetry of a gauge theory specifies the global form of consistent gauge
and flavor bundle background field configurations. For 6D gauge theories which arise from a …

A bstract We consider't Hooft anomalies of four-dimensional gauge theories whose fermion
matter content admits Spin G (4) generalized spin structure, with G either gauged or a global …

A bstract All five-dimensional non-abelian gauge theories have a U (1) I global symmetry
associated with instantonic particles. We describe an obstruction to coupling U (1) I to a …

We study the constraints on thermal phase transitions of SU (N c) gauge theories by using
the't Hooft anomaly involving the center symmetry and chiral symmetry. We consider two …

A bstract Anomaly matching constrains low-energy physics of strongly-coupled field
theories, but it is not useful at finite temperature due to contamination from high-energy …

We discuss the SU (3)/[U (1)× U (1)] nonlinear sigma model in 1+ 1D and, more broadly, its
linearized counterparts. Such theories can be expressed as U (1)× U (1) gauge theories and …