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Explore the ϵ-expansion technique and its applications to boundary and defect conformal field theories in this 56-minute theoretical physics seminar. Delve into recent developments of the ϵ-expansion methodology for studying boundary and defect universality classes of the O(N) model in d dimensions, with special emphasis on ordinary and normal transitions. Learn how this widely-used technique advances understanding of renormalization group flows and critical phenomena in quantum field theory. Examine comparative analyses with numerical approaches including conformal bootstrap methods, Monte Carlo simulations, and fuzzy sphere regularizations to validate theoretical predictions. Gain insights into cutting-edge research at the intersection of statistical mechanics, condensed matter physics, and high-energy theory, presented as part of the Institute for Advanced Study's High Energy Theory Seminar series.
