Quantization of soliton systems and Langlands duality

zbMath1245.81062arXiv0705.2486MaRDI QIDQ3118335

Publication date: 2 March 2012

Full work available at URL: https://arxiv.org/abs/0705.2486

quantization soliton Virasoro algebra KdV hierarchy Gaudin model quantum Hamiltonian Langlands duality

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Soliton equations (35Q51) Commutation relations and statistics as related to quantum mechanics (general) (81S05) Geometric Langlands program: representation-theoretic aspects (22E57) Geometric Langlands program (algebro-geometric aspects) (14D24)

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