4 papers
Around the semi-classical limit of boundary Liouville conformal field theory
Baptiste Cerclé
Liouville conformal field theory describes a random geometry that fluctuates around a deterministic one: the unique solution of the problem of finding, within a given conformal cla…
Higher-spin symmetry in the boundary Toda conformal field theory II: Singular vectors and BPZ equations
Baptiste Cerclé, Nathan Huguenin
This article is the second chapter of a two-part series dedicated to the mathematical study of the higher-spin symmetry enjoyed by the boundary Toda Conformal Fie…
Higher-spin symmetry in the boundary Toda conformal field theory I: Ward identities
Baptiste Cerclé, Nathan Huguenin
This article is the first of a two-part series dedicated to studying the symmetries enjoyed by the probabilistic construction of the boundary Toda Conformal Field…
W-algebras, Gaussian Free Fields and -Dotsenko-Fateev integrals
Baptiste Cerclé
Based on the intrinsic connection between Gaussian Free Fields and the Heisenberg vertex algebra, we study some aspects of the correspondence between probability theory and -alg…