Conformal and Chiral Anomalies - Boundaries, Invariants and Physical Manifestations

Explore conformal and chiral anomalies in quantum field theory through this seminar lecture delivered by Professor Sergey Solodukhin from Université François-Rabelais Tours at the Isaac Newton Institute. Delve into the mathematical foundations and physical manifestations of these anomalies, examining their behavior at boundaries and their role as invariants in theoretical physics. Learn about the fundamental principles governing conformal symmetry breaking and chiral symmetry violations in quantum field systems, with particular attention to how these phenomena manifest in the presence of boundaries, impurities, and defects. Discover the mathematical structures underlying these anomalies and their significance in modern theoretical physics, including their applications in condensed matter systems, high-energy physics, and quantum field theory. The lecture provides detailed analysis of the invariant properties of these anomalies and discusses their observable consequences in physical systems, making it valuable for researchers and advanced students working in quantum field theory, mathematical physics, and related areas.