Boundary quantum Knizhnik-Zamolodchikov equations and fusion

DOI10.1007/s00023-014-0395-4zbMath1347.81053arXiv1404.5492OpenAlexW2063012257MaRDI QIDQ5962769

Bart Vlaar, Nicolai Reshetikhin, Jasper V. Stokman

Publication date: 23 February 2016

Published in: Annales Henri Poincaré (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1404.5492

zbMATH Keywords

Yang-Baxter equationquantum affine algebraVerma module\(K\)-operatorsBethe vectorsboundary monodromy operatorsfusion processJackson integralquantum boundary KZ equationsuniversal \(R\)-matrix

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) Groups and algebras in quantum theory and relations with integrable systems (81R12) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Discrete version of topics in analysis (39A12) Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.) (22E47) Bethe-Salpeter and other integral equations arising in quantum theory (81Q40) Yang-Baxter equations (16T25)

Related Items

A Q-operator for open spin chains I. Baxter’s TQ relation, Algebraic Bethe ansatz for the XXZ Heisenberg spin chain with triangular boundaries and the corresponding Gaudin model, Integral solutions to boundary quantum Knizhnik-Zamolodchikov equations, Boundary quantum Knizhnik-Zamolodchikov equations and Bethe vectors, Boundary transfer matrices and boundary quantum KZ equations

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