Boundary quantum Knizhnik-Zamolodchikov equations and Bethe vectors

DOI10.1007/s00220-014-2227-2zbMath1312.81122arXiv1305.1113OpenAlexW3100192072MaRDI QIDQ2018312

Nicolai Reshetikhin, Bart Vlaar, Jasper V. Stokman

Publication date: 14 April 2015

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

Full work available at URL: https://arxiv.org/abs/1305.1113

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Groups and algebras in quantum theory and relations with integrable systems (81R12) Bethe-Salpeter and other integral equations arising in quantum theory (81Q40)

Related Items (10)

Pseudo-symmetric pairs for Kac-Moody algebras ⋮ A Q-operator for open spin chains I. Baxter’s TQ relation ⋮ Integral solutions to boundary quantum Knizhnik-Zamolodchikov equations ⋮ Modified algebraic Bethe ansatz for XXZ chain on the segment - I: Triangular cases ⋮ Boundary quantum Knizhnik-Zamolodchikov equations and fusion ⋮ Boundary transfer matrices and boundary quantum KZ equations ⋮ Izergin-Korepin analysis on the wavefunctions of the \(U_q(\mathrm{sl}_2)\) six-vertex model with reflecting end ⋮ The open XXZ chain at Δ = −1/2 and the boundary quantum Knizhnik–Zamolodchikov equations ⋮ Koornwinder polynomials and the \(XXZ\) spin chain ⋮ Connection problems for quantum affine KZ equations and integrable lattice models

Cites Work

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• Spin chains with non-diagonal boundaries and trigonometric SOS model with reflecting end
• Algebraic Bethe Ansatz for SO(N)-invariant transfer matrices
• Semi-infinite Weil complex and the Virasoro algebra
• On the boundary form factor program
• Factorizing particles on a half-line and root systems
• Current algebras and Wess-Zumino model in two dimensions
• Monodromy representations for generalized Knizhnik-Zamolodchikov equations and Hecke algebras
• Arrangements of hyperplanes and Lie algebra homology
• Quantum affine algebras and holonomic difference equations
• Jackson-type integrals, Bethe vectors, and solutions to a difference analog of the Knizhnik-Zamolodchikov system
• Quantum Knizhnik-Zamolodchikov equations and affine root systems
• \(XXZ\) chain with a boundary
• Difference equations in spin chains with a boundary
• Elliptic Dunkl operators, root systems, and functional equations
• Induced representations of double affine Hecke algebras and applications
• A unification of Knizhnik-Zamolodchikov and Dunkl operators via affine Hecke algebras
• Koornwinder polynomials and the \(XXZ\) spin chain
• Quantum incompressibility and Razumov Stroganov type conjectures
• OFF-SHELL BETHE ANSATZ EQUATION FOR GAUDIN MAGNETS AND SOLUTIONS OF KNIZHNIK-ZAMOLODCHIKOV EQUATIONS
• BOUNDARY S MATRIX AND BOUNDARY STATE IN TWO-DIMENSIONAL INTEGRABLE QUANTUM FIELD THEORY
• Quantum Affine Knizhnik-Zamolodchikov Equations and Quantum Spherical Functions, I
• Correlation functions and the boundary qKZ equation in a fractured XXZ chain
• Integrable open spin chains with nonsymmetric R-matrices
• The Quantum Knizhnik-Zamolodchikov Equation and Non-symmetric Macdonald Polynomials
• First order analytic difference equations and integrable quantum systems
• A general formula for soliton form factors in the quantum sine-Gordon model
• Boundary conditions for integrable quantum systems
• Quantum Knizhnik–Zamolodchikov equation: reflecting boundary conditions and combinatorics
• Boundary quantum Knizhnik-Zamolodchikov equations and fusion

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