Generalized Landau Paradigm and the Symmetry Topological Field Theory

Explore the generalized Landau paradigm and symmetry topological field theory in this 90-minute conference talk delivered by Apoorv Tiwari at the International Centre for Theoretical Sciences. Delve into advanced concepts that extend beyond traditional symmetry notions in quantum many-body systems, examining how higher-form, non-invertible, and subsystem symmetries revolutionize our understanding of quantum phases of matter. Discover how these generalized symmetries provide powerful new frameworks for classifying quantum phases that fall outside conventional paradigms, while investigating the role of anomalies in condensed matter settings and their influence on microscopic symmetry realization at low energies. Learn about the protection and constraints these concepts impose on exotic quantum phases, including symmetry-protected topological states, and understand their impact on quantum entanglement, conservation laws, and hydrodynamics in interacting systems. This presentation forms part of a comprehensive program on generalized symmetries and anomalies in quantum phases of matter, designed to provide both conceptual clarity for early-career researchers and cutting-edge insights for the broader physics community working at the intersection of high-energy physics and condensed matter theory.