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Generalized Kramers-Wannier Duality in Hopf Ising Models

International Centre for Theoretical Sciences via YouTube

Overview

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Explore the generalized Kramers-Wannier duality in Hopf Ising models through this 48-minute conference talk by Arkya Chatterjee from the International Centre for Theoretical Sciences. Delve into advanced concepts of symmetries in quantum many-body systems as part of a comprehensive program on generalized symmetries and anomalies in quantum phases of matter. Examine how traditional Kramers-Wannier duality extends to more complex Hopf algebraic structures in Ising models, providing new insights into the classification and understanding of quantum phases. Learn about the mathematical framework connecting higher-form symmetries, non-invertible symmetries, and duality transformations in condensed matter physics. Discover how these generalized dualities contribute to our understanding of quantum entanglement, conservation laws, and exotic quantum phases that fall outside conventional paradigms. Gain exposure to cutting-edge research that bridges high-energy physics concepts with condensed matter applications, particularly in the context of symmetry-protected topological states and emergent symmetries in interacting quantum systems.

Syllabus

Generalized Kramers-Wannier Duality in Hopf Ising Models by Arkya Chatterjee

Taught by

International Centre for Theoretical Sciences

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