3 papers
math-ph2026
On the local conformal structure of Imaginary Liouville theory
Baptiste Cerclé, Romain Usciati
Imaginary Liouville theory was recently proposed as a path integral construction of a non-rational conformal field theory (CFT) with central charge less than one (Usciati et al. 20…
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…
hep-th2023
On the analytical continuation of lattice Liouville theory
Xiangyu Cao, Raoul Santachiara, Romain Usciati
The path integral of Liouville theory is well understood only when the central charge . Here, we study the analytical continuation the lattice Liouville path int…