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. |