PIRSA:25110066 Conference Mathematical physics

DOI10.48660/25110066

Conference/School: Holomorphic-topological field theories and representation theory

Bittleston, R. (2025). Non-Commutative Gauge Theory at the Beach. Perimeter Institute. https://pirsa.org/25110066

Bittleston, Roland. Non-Commutative Gauge Theory at the Beach. Perimeter Institute, Nov. 06, 2025, https://pirsa.org/25110066 

@misc{ pirsa_PIRSA:25110066,
  doi = {10.48660/25110066},
  url = {https://pirsa.org/25110066},
  author = {Bittleston, Roland},
  keywords = {Mathematical physics},
  language = {en},
  title = {Non-Commutative Gauge Theory at the Beach},
  publisher = {Perimeter Institute},
  year = {2025},
  month = {nov},
  note = {PIRSA:25110066 see, \url{https://pirsa.org}}
}

Abstract

The KP equation is a well-known classical integrable system that describes shallow water waves in 2+1 dimensions. I will show that it is described by a 5d non-commutative Chern-Simons theory on mini-twistor correspondence space. The 2d chiral CFT living on a holomorphic surface defect is identified with W-algebra hidden symmetry of the KP equation. Based on work done in collaboration with David Skinner, Simon Heuveline and Surya Raghavendran.

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