• simmetrie generalizzate
• gauge theories
• Center symmety
• 1-form symmetry
• 't Hooft anomaly matching
• teorie di gauge

The 't Hooft anomaly matching is one of the few tools that allow us to determine (or, at least, to constrain) the low-energy dynamics of strongly-coupled Yang-Mills theories, also when they possess matter chiral fermions.

In this work we study a generalization of this argument, in particular we gauge higher symmetries (i.e. symmetries which act on extended objects, e.g. Wilson line) and we consider the associated 0-form-1-form mixed 't Hooft anomalies, as they can provide more powerful constraints on the infrared symmetry realizations.

In the first part of the thesis we review these new developments, preparing the artillery needed in the discussion of the original part of the thesis; which consists of the applications of these new, generalized 't Hooft anomaly matching argument to some class of simple vectorlike and chiral SU(N) gauge theories. Models discussed include:
the SU(N) gauge theory with several copies of Weyl fermions in self-adjoint single-column antisymmetric representation,
the well-discussed adjoint QCD,
QCD-like theories in which the quarks are in a two-index representation of SU(N),
and a chiral SU(N) theory with fermions in the symmetric as well as in anti-antisymmetric representations.
Mixed 't Hooft anomalies between the discrete 1-form symmetry and some discrete 0-form (standard) symmetry provide us with useful, and in some case decisive, information about the infrared dynamics of the system.