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Remi Rhodes——Conformal Bootstrap in Liouville theory
发布人:许全华  发布时间:2020-07-02   浏览次数:211

题目Conformal Bootstrap in Liouville theory


报告人:Remi Rhodes, Université Aix-Marseille


时间:7月9日,16:00-17:00


地点:Zoom Meeting,会议 ID: 915 8988 2960,Password: 693270


摘要:Liouville conformal field theory (denoted LCFT) is a 2-dimensional conformal field theory   studied since the eighties in theoretical physics. In the case of the theory on the Riemann sphere, physicists proposed closed formulae for the n-point correlation functions using symmetries and representation theory, called the DOZZ formula (when n=3) and the conformal bootstrap (for n>3). A probabilistic construction of LCFT was recently proposed by David-Kupiainen-Rhodes-Vargas and the last three authors later proved the DOZZ formula. In this talk I will present a proof of equivalence between the probabilistic and the bootstrap construction (proposed in physics) for the n point correlation functions with n greater or equal to 4. Basically, our proof relies on the harmonic analysis of the conformal group in two dimensions: it combines the analysis of a natural semi-group (given by the action of dilations on LCFT), tools from scattering theory and the use of Virasoro algebra in the context of the probabilistic approach (the so-called conformal Ward identities).Based on joint work with C. Guillarmou, A. Kupiainen and V. Vargas.


视频链接:https://www.bilibili.com/video/BV1PK4y1x76Q