Pantheon SEMPARIS Le serveur des séminaires parisiens Paris

Statut Confirmé
Domaines math-ph
Date Lundi 26 Fevrier 2024
Heure 11:00
Institut IPHT
Salle Salle Claude Itzykson, Bât. 774
Nom de l'orateur Clement Delcamp
Prenom de l'orateur
Addresse email de l'orateur
Institution de l'orateur
Titre Topological symmetries and dualities in anyonic chains
Résumé Despite its long and illustrious story, the concept of symmetry is still evolving. A modern perspective on symmetry identifies the topological invariance of symmetry operators within correlation functions as their defining property. In addition to suggesting generalised notions of symmetry, this enables a calculus of topological defects that draws from well-established methods from topological quantum field theory. In this talk, I will discuss this picture in the case of one-dimensional quantum lattice models. Specifically, I will present a systematic way of constructing symmetric Hamiltonians as well as the corresponding (possibly non-invertible) lattice symmetry operators. I will then discuss a generalised gauging procedure of the symmetry, recovering celebrated duality relations, and the mapping of topological sectors upon such a gauging. Finally, I will comment about classification of gapped symmetric phases and the construction of the corresponding order parameters.
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