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Explore the epsilon-expansion technique and its applications to boundary and defect conformal field theories in this physics lecture by Zimo Sun from the Institute for Advanced Study. Learn about recent developments in applying epsilon-expansion methods to study boundary and defect universality classes of the O(N) model in d dimensions, with special emphasis on ordinary and normal phase transitions. Discover how this widely-used technique for analyzing renormalization group flows and critical phenomena extends to boundary and defect systems. Examine comparisons between epsilon-expansion results and other computational approaches including conformal bootstrap methods, Monte Carlo simulations, and fuzzy sphere regularizations, providing a comprehensive view of modern theoretical and numerical techniques in statistical field theory and condensed matter physics.
