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Constructing Critical Gauge Theories on the Fuzzy Sphere - Non-Linear σ-Model and Conformal Field Theory Applications

Institut des Hautes Etudes Scientifiques (IHES) via YouTube

Overview

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Explore advanced theoretical physics concepts in this conference talk that examines the construction of critical gauge theories on the fuzzy sphere through non-linear σ-models with Wess-Zumino-Witten terms. Learn how gauge theories serve as infrared descriptions of exotic critical phases and transitions while providing methods for constructing interacting conformal field theories in three dimensions. Discover the mathematical framework connecting fuzzy sphere models to NLSM-WZW theories and their correspondence to critical gauge theories. Examine the specific case of Sp(N)-symmetric conformal field theories corresponding to non-linear σ-models on symplectic Grassmannians, with particular focus on Chern-Simons theories coupled to critical scalar and fermion fields. Review numerical evidence supporting emergent conformal symmetry and analyze operator contents within these theoretical constructions. Gain insights into additional developments in fuzzy sphere research, including conformal defects, boundary conditions, and the numerical package FuzzifiED designed for computational analysis in this field.

Syllabus

Zheng Zhou - Constructing Critical Gauge Theories on the Fuzzy Sphere : Non-Linear σ-Model and (...)

Taught by

Institut des Hautes Etudes Scientifiques (IHES)

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