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math.PR2026
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 def…
math.PR2025
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…
math.PR2024
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…