Lectures on the duality between Sine-Gordon and Thirring model - Prof A. Torrielli (Lecture 1)

Part of LonTI lectures Autumn 2022.

Title: Lectures on the duality between the Sine-Gordon and the Thirring model

Lecturer: Professor Alessandro Torrielli (University of Surrey)

Date: 17 October 2022

Place: LIMS @ the Royal Institution of Great Britain.

Description: We will describe the duality between two integrable systems: the 2D Sine-Gordon model and the 2D Thirring model. We will spend some time describing the classical and quantum Sine-Gordon model, in particular its spectrum, S-matrices and underlying quantum-group symmetry. We will then present the duality with the Thirring model as originally stated by Coleman and refined in subsequent literature. All the basic elements will be provided without relying on too many prerequisites beyond standard graduate-level quantum field theory. The notes comprise a series of exercises.

Note: This is an improved version of the video which replaced the old one