Speaker
Anders Wallberg
(École Polytechnique Fédérale de Lausanne)
Description
How should we define integrability in spacetime-dependent field theories? In this talk, I will argue that one needs to relax the Lax equation in a way that still renders the theory solvable. I will then show how this modified equation naturally arises from a modified version of four dimensional Chern-Simons Theory, which is known to generate many two dimensional integrable field theories. This makes it possible to find spacetime-dependent versions of most integrable models, which I will demonstrate in various examples.