Tipo di tesi
Tesi di laurea magistrale
Titolo
Aspects of generalized symmetries: condensation defects, duality defects and the higher structure of (3 + 1)d Axion Electrodynamics
Parole chiave
- axion Maxwell
- generalized symmetries
- non-invertible symmetries
- symmetry category
Data inizio appello
10/06/2024
Consultabilità
Non consultabile
Data di rilascio
10/06/2064
Riassunto (Italiano)
In recent years, the concept of "symmetries" has been vastly generalized. The goal of this thesis is to study the symmetry category of the axion Maxwell theory, as a first step in understanding what is the physical information encoded in this new mathematical structure, as well as how to detect it. We derive fusion rules for the non-invertible electric and shift symmetries of the theory, we computed their associator, and we explained how it can affect the correlation functions.
Moreover, we analyzed how the presence of a higher group structure is reflected in the associativity data of a symmetry, as well as proposed a relation between obstruction to condensing a symmetry on hypersurfaces of various dimensions.
