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Explore the spectrum of Yang-Lee conformal field theory through this 40-minute conference talk that demonstrates how to utilize the conformality of energy spectra and consistency with conformal perturbation theory to determine critical points without requiring prior knowledge of CFT scaling dimensions. Learn about a novel finite-size scaling approach on the fuzzy sphere that enables more reliable extraction of conformal data, with detailed comparisons to conventional analysis methods using the (1+1)-dimensional Yang-Lee problem as a practical example. Discover how the presented results align with previous Monte-Carlo and conformal bootstrap findings while uncovering a previously unknown primary operator and several operator product expansion coefficients. Gain insights into advanced techniques in conformal field theory research and their applications to critical phenomena analysis.
