Laboratoire de Physique Théorique

de la Matière Condensée

Clément Delcamp (IHES)

Topological symmetries and dualities in one-dimensional spin models

Focusing on familiar one-dimensional spin models, I will motivate the modern perspective on symmetries in terms of topological operators. Embracing this perspective, I will sketch a systematic approach to dualities in spin models. I will further explain how to deal with the mapping of super-selection sectors of dual models onto one another, which in turn allows to explicitly relate their spectra.