Non-Invertible Symmetries in One-Dimensional Quantum Lattice Models

Explore non-invertible symmetries in one-dimensional quantum lattice models through this seminar lecture delivered by Professor Clement Delcamp from Institut des Hautes Études Scientifiques. Delve into advanced concepts of quantum field theory as they apply to lattice systems, examining how non-invertible symmetries manifest and influence the behavior of one-dimensional quantum models. Learn about the mathematical framework underlying these symmetries and their implications for understanding quantum many-body systems. Discover the connections between non-invertible symmetries and topological phases of matter, gaining insights into how these concepts extend beyond traditional invertible symmetry groups. Examine specific examples and applications that demonstrate the practical significance of non-invertible symmetries in condensed matter physics and quantum field theory. This presentation forms part of the "Quantum field theory with boundaries, impurities, and defects" program at the Isaac Newton Institute, providing cutting-edge research perspectives on the intersection of symmetry principles and quantum lattice dynamics.