Josh Cork (School of Mathematics, University of Leicester) – A Nahm transform for rotwisted calorons

Rotwisted calorons are self-dual Yang-Mills connections on R^4 invariant under a glide rotation, and were first introduced in the context of rotating quark-gluon plasmas. Much of the success in the study of self-dual Yang-Mills has been via the existence of a nonlinear transform called the ADHMN (Atiyah-Drinfeld-Hitchin-Manin-Nahm) construction. In this talk, after reviewing the many facets of ADHMN constructions, we shall discuss the formulation of a Nahm transform for rotwisted calorons, identifying them with solutions of an integrable delayed-differential equation. We will also describe some solutions in the simplest non-trivial case. This is based on joint work with Derek Harland.