3 papers
math-ph2026
Virasoro Conformal Blocks and modular functor from Liouville CFT
Guillaume Baverez, Colin Guillarmou, Antti Kupiainen +2
In this article, we give a global construction of the Virasoro conformal blocks on Teichmüller space of Riemann surfaces of genus with marked points, when the central charg…
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.PR2025
Energy field of critical Ising model and examples of singular fields in QFT
Christophe Garban, Antti Kupiainen
The goal of this paper is to prove singularity of three natural fields in QFT with respect to their natural base measure. The fields we consider are the following ones: (1) The nea…