Emerging integrable structures in Abelian and non-Abelian quantum Hall liquids
Raoul Santachiara, LPTMS
I’ll review the main properties of Laughlin incompressible quantum liquids. I will discuss in particular the low-energy edge excitations and their connection to the area-preserving transformations. The corresponding algebraic structures suggest that the integrable 1D quantum model Calogero-Sutherland plays a crucial role. Recently, by using conformal field theory techniquesm we have shown that a similar scenario is emerging in the case of the non-Abelian quantum Hall liquids. I will discuss the main results trying to focus only the general ideas behind this approach.