David Skinner

Abstract: It has long been known that many classical integrable systems can be obtained as symmetry reductions of the anti-self-dual Yang-Mills equations. Following a suggestion of Costello, I’ll show that actions for asd YM arise from holomorphic Chern-Simons theory on twistor space, defined with the help of a choice of meromorphic (3,0)-form. Applying the symmetry reduction in twistor space, one instead arrives at the description of the integrable system in terms of 4d Chern-Simons theory of Costello & Yamazaki.