Please send comments and corrections to ben.hoare-at-durham.ac.uk.
In this project you will investigate two types of integrable model in two dimensions and explore the relation between them. The first are integrable sigma models, which describe the classical motion of relativistic strings on a special class of curved space-times. The second are massive integrable models, which have the remarkable property that the scattering of excitations in these theories can be described exactly. In the first part of the project, you will familiarise yourself with the two types of integrable model and some of the methods that are used to study them. The aim of the second part is then to use this knowledge to investigate the simplest examples of the duality.