5 papers
Spectra of Lorentzian quasi-Fuchsian manifolds
Benjamin Delarue, Colin Guillarmou, Daniel Monclair
A three-dimensional quasi-Fuchsian Lorentzian manifold is a globally hyperbolic spacetime diffeomorphic to for a closed orientable surface of genus $\geq…
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…
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…
Probabilistic construction of non compactified imaginary Liouville field theory
Romain Usciati, Colin Guillarmou, Remi Rhodes +1
We propose a probabilistic construction of imaginary Liouville Field Theory based on a real (non-compactified) Gaussian Free Field. We argue that our theory is the first explicit L…
Probabilistic construction of the -Wess-Zumino-Witten conformal field theory and correspondence with Liouville theory
Colin Guillarmou, Antti Kupiainen, Rémi Rhodes
Wess-Zumino-Witten (WZW) models are among the most basic and most studied Conformal Field Theories (CFT). They have had a huge influence not only in physics but also in mathematics…