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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…
Boundary Toda Conformal Field Theory from the path integral
Baptiste Cerclé, Nathan Huguenin
Toda Conformal Field Theories (CFTs hereafter) are generalizations of Liouville CFT where the underlying field is no longer scalar but takes values in a finite-dimensional vector s…
Higher equations of motion for boundary Liouville Conformal Field Theory from the Ward identities
Baptiste Cerclé
In this document we prove higher equations of motion at the level 2 for boundary Liouville Conformal Field Theory. As a corollary we present a new derivation of the Belavin-Polyako…