1:30 pm MCP 201
From dualities to non-invertible symmetries: a tensor network perspective.
Dualities have long served as a powerful lens for understanding the structure of quantum many-body systems. In this talk, I will explore how the concept of πduality has recently led to new insights into non-invertible symmetries --- a generalized notion of symmetry that goes beyond the familiar group framework. Focusing on one-dimensional spin chains, I will revisit the classic Kramers–Wannier duality of the transverse-field Ising model, its modern interpretation as a non-invertible symmetry, and then construct a new family of models that generalize the self-duality of the Ising, clock, and Potts model to the non-abelian setting. Throughout, I will emphasize how tensor networks provide a unifying and intuitive framework for visualizing and realizing these ideas on the lattice.