Holomorphic Chern-Simons theory and affine Gaudin models

Benoit Vicedo

Holomorphic Chern-Simons theory and affine Gaudin models

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arxiv 1908.07511 v2 pith:EXYCSBVA submitted 2019-08-20 hep-th math-phmath.MP

Benoit Vicedo This is my paper

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keywords affinechern-simonsclassicalgaudinholomorphicmodelstheoryaction

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We relate two formalisms recently proposed for describing classical integrable field theories. The first is based on the action of four-dimensional holomorphic Chern-Simons theory introduced and studied by Costello, Witten and Yamazaki. The second makes use of classical generalised Gaudin models associated with untwisted affine Kac-Moody algebras.

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Time-Dependent Integrability from Gauge Theory, I
hep-th 2026-07 accept novelty 7.5 of 10

Spacetime-dependent 4d Chern-Simons theory generates time-dependent integrable field theories whose allowed time dependence coincides with one-loop RG flow while preserving Lax integrability.

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