Web of Noninvertible Dualities in 2+1-Dimensional Model

Explore a 55-minute conference talk examining the intricate network of noninvertible dualities within 2+1-dimensional quantum models. Delve into advanced concepts of generalized symmetries as they apply to quantum many-body systems, moving beyond traditional symmetry frameworks to understand higher-form, non-invertible, and subsystem symmetries. Learn how these sophisticated symmetry structures provide new tools for classifying and understanding quantum phases of matter that fall outside conventional paradigms. Discover the role of anomalies in condensed matter physics and how microscopic symmetries manifest in nontrivial ways at low energies, particularly in protecting exotic quantum phases like symmetry-protected topological states. Gain insights into how these developments are reshaping our understanding of quantum entanglement, conservation laws, and hydrodynamics in interacting systems, while also influencing approaches to mixed states and open quantum systems.