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Explore advanced theoretical physics in this 39-minute conference talk examining how quantum spin liquids near the Néel state on square lattices connect to conformal field theory through the SO(5) non-linear sigma model with Wess-Zumino-Witten terms. Learn about the application of ancilla qubit methods to describe confining states in doped antiferromagnets and discover how this near-CFT3 framework provides theoretical explanations for multiple experimental observations in cuprate superconductors. Delve into the mechanisms behind d-wave superconductivity featuring four nodal quasiparticles with anisotropic velocities, quantum oscillations in charge-ordered states, higher energy RIXS spectra characteristics, and recent Yamaji effect observations in the pseudogap regime, presented by a leading expert from Harvard University at the Institut des Hautes Etudes Scientifiques.