Review on the probabilistic construction and Conformal bootstrap in Liouville Theory

Autor: Guillarmou, Colin, Kupiainen, Antti, Rhodes, Rémi
Rok vydání: 2024
Předmět:
Druh dokumentu: Working Paper
Popis: In the paper, we review the recent construction of the Liouville conformal field theory (CFT) from probabilistic methods, and the formalization of the conformal bootstrap. This model has offered a fruitful playground to unify the probabilistic construction of the path integral, the geometric axiomatics of CFT by Segal and the representation theoretical content of the conformal bootstrap. We explain and extract the main steps and ideas behind the construction and resolution of this non-compact CFT.
Databáze: arXiv