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Defects in Gauge Theory, Quantum Spin Chains, and Knizhnik-Zamolodchikov Equations

BIMSA via YouTube

Overview

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Explore the intricate connections between defects in gauge theory, quantum spin chains, and Knizhnik-Zamolodchikov equations in this 54-minute conference talk delivered at ICBS2025. Delve into the mathematical framework that unifies these seemingly disparate areas of theoretical physics, examining how topological defects in gauge theories relate to quantum spin chain models and their underlying integrable structures. Investigate the role of Knizhnik-Zamolodchikov equations as a bridge between conformal field theory and quantum integrable systems, with particular emphasis on how these differential equations encode the correlation functions and braiding properties of quantum states. Discover the deep mathematical connections that emerge when studying defect operators in gauge theories and their correspondence to local operators in quantum spin chains, while understanding how the Knizhnik-Zamolodchikov framework provides a unified approach to solving these complex quantum many-body systems.

Syllabus

Norton Lee: Defects in gauge theory, quantum spin chains, and Knizhnik-Zamolodchikov eq #ICBS2025

Taught by

BIMSA

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