3 papers
hep-th2025
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…
math-ph2025
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…
math-ph2024
Conformal Bootstrap for surfaces with boundary in Liouville CFT. Part 1: Segal axioms
Colin Guillarmou, Rémi Rhodes, Baojun Wu
This paper is the first part of the proof of the conformal bootstrap for Liouville conformal field theory on surfaces with a boundary, devoted to Segal's axioms in this context. We…