Asymptotic solutions to the Knizhnik-Zamolodchikov equation and crystal base

DOI10.1007/BF02103772zbMath0893.17009arXivhep-th/9403102OpenAlexW2048658354MaRDI QIDQ1908050

Alexander Varchenko

Publication date: 31 August 1998

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

Full work available at URL: https://arxiv.org/abs/hep-th/9403102

zbMATH Keywords

asymptotic solutionsquantum groupcrystal baseKnizhnik-Zamolodchikov equation

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items

Cyclotomic Gaudin models: construction and Bethe ansatz, Notes on solutions of KZ equations modulo 𝑝^{𝑠} and 𝑝-adic limit 𝑠→∞, Integrable time-dependent Hamiltonians, solvable Landau-Zener models and Gaudin magnets, Geometric \(q\)-hypergeometric functions as a bridge between Yangians and quantum affine algebras, On the number of \(p\)-hypergeometric solutions of KZ equations, Rationality of the Knizhnik-Zamolodchikov equation solution, Crystals and monodromy of Bethe vectors, Classical \(r\)-matrix structure for the generalized Gaudin magnet, The Drinfeld-Kohno theorem for the superalgebra \({\mathfrak{gl}}(1|1)\), On the solutions of Knizhnik-Zamolodchikov system

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