Twistors, integrability, and 4d Chern-Simons theory


Bittleston, R. (2021). Twistors, integrability, and 4d Chern-Simons theory. Perimeter Institute. https://pirsa.org/21100050


Bittleston, Roland. Twistors, integrability, and 4d Chern-Simons theory. Perimeter Institute, Oct. 29, 2021, https://pirsa.org/21100050


          @misc{ pirsa_PIRSA:21100050,
            doi = {10.48660/21100050},
            url = {https://pirsa.org/21100050},
            author = {Bittleston, Roland},
            keywords = {Mathematical physics},
            language = {en},
            title = {Twistors, integrability, and 4d Chern-Simons theory},
            publisher = {Perimeter Institute},
            year = {2021},
            month = {oct},
            note = {PIRSA:21100050 see, \url{https://pirsa.org}}

Roland Bittleston Perimeter Institute for Theoretical Physics


I will connect approaches to classical integrable systems via 4d Chern-Simons theory and via symmetry reductions of the anti-self-dual Yang-Mills equations. In particular, I will consider holomorphic Chern-Simons theory on twistor space, defined using a range of meromorphic (3,0)-forms. On shell these are, in most cases, found to agree with actions for anti-self-dual Yang-Mills theory on space-time. Under symmetry reduction, these space-time actions yield actions for 2d integrable systems. On the other hand, performing the symmetry reduction directly on twistor space reduces the holomorphic Chern-Simons action to 4d Chern-Simons theory.

Zoom Link: https://pitp.zoom.us/j/99193672959?pwd=RUJ3N3h2V3RFK3ZNVVVCK1E3bXJ2Zz09