Holomorphic Chern-Simons theory and affine Gaudin models

2019/08/20 by Benoît Vicedo, Vicedo, Benoit
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.1908.07511

openalex publication_date 2019/08/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

Citations

• THE QUANTUM METHOD OF THE INVERSE PROBLEM AND THE HEISENBERG XYZ MODEL
• Central charges in the canonical realization of asymptotic symmetries: An example from three dimensional gravity

Related

• Lectures on classical Affine Gaudin models
• Chern-Simons Theories and Integrability
• On integrable field theories as dihedral affine Gaudin models
• Integrable models with twist function and affine Gaudin models
• Integrable sigma models at RG fixed points: quantisation as affine Gaudin models