MS Seminar (Mathematics - String Theory)

Speaker: David Skinner (U Cambridge)
Title: Twistors, Integrability and 4d Chern-Simons Theory
Date (JST): Tue, Dec 15, 2020, 16:00 - 17:00
Place: Zoom
Related File: 2618.pdf
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.