Universality and Conformal Invariance in Critical Percolation Models

Explore the universal behavior of critical percolation models in this 40-minute conference talk from the Workshop on Integrable systems, exactly solvable models and algebras. Delve into site percolation on the triangular lattice and bond percolation on the square lattice, both Yang-Baxter integrable models with potential for exact solutions. Examine how these models exhibit conformal invariance in the scaling limit and are described by non-unitary representations of the Virasoro algebra. Learn about the calculation of partition functions on cylinder and torus geometries for these models. Gain insights from this collaborative research presented by Alexi Moring-Duchesne, conducted with A. Klümper and P.A. Pearce at the Centre de recherches mathématiques (CRM).