84 citations · 605 across the 68 of their papers we have counts for
5 papers · 1 filter
2d Sinh-Gordon model on the infinite cylinder
Colin Guillarmou, Trishen S. Gunaratnam, Vincent Vargas
For , we give a rigorous probabilistic construction on the cylinder of the (massless) Sinh-Gordon model. In particular we defi…
Semigroup of annuli in Liouville CFT
Guillaume Baverez, Colin Guillarmou, Antti Kupiainen +1
In conformal field theory, the semigroup of annuli with boundary parametrisation plays a special role, in that it generates the whole algebra of local conformal symmetries, the so-…
The Virasoro structure and the scattering matrix for Liouville conformal field theory
Guillaume Baverez, Colin Guillarmou, Antti Kupiainen +2
In this work, we construct a representation of the Virasoro algebra in the canonical Hilbert space associated to Liouville conformal field theory. The study of the Virasoro operato…
Segal's axioms and bootstrap for Liouville Theory
Colin Guillarmou, Antti Kupiainen, Rémi Rhodes +1
In 1987 Graeme Segal gave a functorial definition of Conformal Field Theory (CFT) that was designed to capture the mathematical essence of the Conformal Bootstrap formalism pioneer…
Conformal bootstrap in Liouville Theory
Colin Guillarmou, Antti Kupiainen, Rémi Rhodes +1
The conformal bootstrap hypothesis is a powerful idea in theoretical physics which has led to spectacular predictions in the context of critical phenomena. It postulates an explici…