High Energy Theory Seminar

In this talk, I will present recent progress on developing an analytic bootstrap framework for thermal conformal field theories (CFTs). Our approach to scalar two-point functions exploits the analytic structure of thermal correlators through dispersion relations, together with the Kubo-Martin-Schwinger (KMS) condition, which enforces periodicity on the thermal circle and plays a role analogous to crossing symmetry. This universal method reconstructs correlators from minimal input and applies broadly to both weakly and strongly coupled theories. In particular, we sharpen the asymptotics of heavy states, and obtain new results for the 3d Ising model in agreement with Monte Carlo simulations. I will illustrate the framework with examples from the critical O(N) model and holographic CFTs, and conclude with an outlook on ongoing extensions to related setups.

Contact [email protected] for Zoom information.