PIRSA:25110066

Non-Commutative Gauge Theory at the Beach

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}}
          }

Roland Bittleston Perimeter Institute for Theoretical Physics

Talk numberPIRSA:25110066
DOI10.48660/25110066
Collection
Talk Type Conference
Subject

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.