4D Chern–Simons theory and affine Gaudin models
نویسندگان
چکیده
Abstract We relate two formalisms recently proposed for describing classical integrable field theories. The first (Costello and Yamazaki in Gauge Theory Integrability, III, 2019) is based on the action of four-dimensional Chern–Simons theory introduced studied by Costello, Witten Yamazaki. second Yamazaki, 2017) makes use generalised Gaudin models associated with untwisted affine Kac–Moody algebras.
منابع مشابه
Bethe Subalgebras in Hecke Algebra and Gaudin Models Bethe Subalgebras in Hecke Algebra and Gaudin Models
The generating function for elements of the Bethe subalgebra of Hecke algebra is constructed as Sklyanin's transfer-matrix operator for Hecke chain. We show that in a special classical limit q → 1 the Hamiltonians of the Gaudin model can be derived from the transfer-matrix operator of Hecke chain. We consruct a non-local analogue of the Gaudin Hamiltonians for the case of Hecke algebras.
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ژورنال
عنوان ژورنال: Letters in Mathematical Physics
سال: 2021
ISSN: ['0377-9017', '1573-0530']
DOI: https://doi.org/10.1007/s11005-021-01354-9