Cyclotomic Gaudin models: construction and Bethe ansatz

DOI10.1007/s00220-016-2601-3zbMath1383.17016arXiv1409.6937OpenAlexW3103403075MaRDI QIDQ281138

Charles A. S. Young, Benoît Vicedo

Publication date: 10 May 2016

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.6937

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Exactly solvable models; Bethe ansatz (82B23) Applications of Lie algebras and superalgebras to integrable systems (17B80) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30) Simple, semisimple, reductive (super)algebras (17B20)

Related Items (11)

Cyclotomic Gaudin models with irregular singularities ⋮ 3-dimensional mixed BF theory and Hitchin's integrable system ⋮ Affine Gaudin models and hypergeometric functions on affine opers ⋮ KP hierarchy for the cyclic quiver ⋮ Cyclotomic Gaudin models, Miura opers and flag varieties ⋮ Local charges in involution and hierarchies in integrable sigma-models ⋮ Vertex Lie algebras and cyclotomic coinvariants ⋮ Generalized \(s\ell(2)\) Gaudin algebra and corresponding Knizhnik-Zamolodchikov equation ⋮ Classical \(N\)-reflection equation and Gaudin models ⋮ \((\mathfrak{gl}_M, \mathfrak{gl}_N)\)-dualities in Gaudin models with irregular singularities ⋮ Affine opers and conformal affine Toda

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