Fuzzy Sphere, Conformal Generators, and Ising Field Theory

Explore advanced theoretical physics concepts in this conference talk examining the construction of conformal generators on the fuzzy sphere for 3D Ising conformal field theory. Learn how to build translations and special conformal transformations directly from the Hamiltonian density, understanding the additional tuning required to suppress contributions from irrelevant operators and their descendants. Discover how these improved generators can accurately isolate primary operators in conformal field theory applications. Delve into deformations by the lowest Z2-odd relevant operator that defines Ising Field Theory, examining this rich theoretical framework that has been extensively studied in two dimensions. Gain insights into new results emerging in the three-dimensional setting, advancing your understanding of conformal field theory, statistical mechanics, and mathematical physics at the intersection of quantum field theory and condensed matter physics.