MASTER THESIS PRESENTATION: Anyons in 1 + 1 dimensions and the deformed Calogero-Sutherland model

by Mr Farrokh Atai (KTH - Theoretical Physics)

Friday 20 May 2011, 11:00 → 12:00 Europe/Stockholm

A4:1069

This thesis deals with a conformal field theoretical treatment of abelian anyons in 1 + 1 dimensions and their relation to the integrable Calogero-Sutherland models. We generalize previous work relating anyons to the Calogero-Sutherland model by showing that the correlation function of the anyon field operators corresponds to the eigenfunctions of the deformed Calogero-Sutherland model. Our results suggest a physical application of the deformed Calogero-Sutherland model in the context of the fractional quantum Hall effect (FQHE). A key aspect for this work is the introduction of the dual anyon field operators, which obey a natural generalization of the canonical anti-commutation relation.