Topological Strings on the Beach

Abstract: The KP equation is a well-known classical integrable system that describes shallow water waves in 2+1 dimensions. While many integrable systems are known to arise from twistor space, the KP equation has long resisted this classification. Recently, following ideas of Costello, the KP equation has been shown to arise from a mixed topological-holomorphic Chern-Simons theory in 5d. This theory comes complete with a chiral W-algebra and suggests that solitonic waves correspond to holomorphic line bundles on non-commutative mini-twistor space.

HEP - theorymathematical physics

Audience: researchers in the topic

Nagoya Math-Phys Seminar

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