Connection problems for quantum affine KZ equations and integrable lattice models
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Publication:2354008
DOI10.1007/s00220-015-2375-zzbMath1321.82017arXiv1410.4383OpenAlexW2166031674WikidataQ59429556 ScholiaQ59429556MaRDI QIDQ2354008
Publication date: 10 July 2015
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1410.4383
Hecke algebras and their representations (20C08) 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) Yang-Baxter equations (16T25)
Related Items (3)
Integral solutions to boundary quantum Knizhnik-Zamolodchikov equations ⋮ Elliptic stable envelopes ⋮ Metaplectic representations of Hecke algebras, Weyl group actions, and associated polynomials
Cites Work
- Orthogonality relations and Cherednik identities for multivariable Baker-Akhiezer functions
- Quantum symmetric Kac-Moody pairs
- Spin chains with non-diagonal boundaries and trigonometric SOS model with reflecting end
- Bispectral quantum Knizhnik-Zamolodchikov equations for arbitrary root systems
- Factorised solutions of Temperley-Lieb \(q\)KZ equations on a segment
- Elliptic dynamical reflection algebra and partition function of SOS model with reflecting end
- \(BC_n\)-symmetric abelian functions
- Fusion of Baxter's elliptic \(R\)-matrix and the vertex-face correspondence
- The two-boundary Temperley-Lieb algebra.
- An Izergin-Korepin-type identity for the 8VSOS model, with applications to alternating sign matrices
- Eight-vertex SOS model and generalized Rogers-Ramanujan-type identities
- Solvable lattice models related to the vector representation of classical simple Lie algebras
- The \(A_ n^{(1)}\) face models
- Complete integrability of relativistic Calogero-Moser systems and elliptic function identities
- 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
- Solutions of the quantum dynamical Yang-Baxter equation and dynamical quantum groups
- Elliptic K-matrix associated with Belavin's symmetric R-matrix
- Difference equations in spin chains with a boundary
- Interaction-round-a-face models with fixed boundary conditions: The ABF fusion hierarchy.
- Nonsymmetric Koornwinder polynomials and duality
- Exchange dynamical quantum groups
- Algebraic Bethe ansatz for the elliptic quantum group \(E_{\tau,\eta} (sl_2\))
- Quantum group symmetry in sine-Gordon and affine Toda field theories on the half-line
- Induced representations of double affine Hecke algebras and applications
- A new dynamical reflection algebra and related quantum integrable systems
- Boundary quantum Knizhnik-Zamolodchikov equations and Bethe vectors
- Koornwinder polynomials and the \(XXZ\) spin chain
- The \(c\)-function expansion of a basic hypergeometric function associated to root systems
- Correlation functions of the half-infinite XXZ spin chain with a triangular boundary
- Connection coefficients for basic Harish-Chandra series
- Dynamical \(\mathcal R\) matrices of elliptic quantum groups and connection matrices for the \(q\)-KZ equations
- Elliptic dynamical \(R\)-matrices from the monodromy of the \(q\)-Knizhnik-Zamolodchikov equations for the standard representation of \(U_q(\tilde{sl}_{n+1})\)
- MONODROMY OF SOLUTIONS OF THE ELLIPTIC QUANTUM KNIZHNIK–ZAMOLODCHIKOV–BERNARD DIFFERENCE EQUATIONS
- On the equivalence of two fundamental theta identities
- Boundary Weights for Temperley–Lieb and Dilute Temperley–Lieb Models
- General solution of reflection equation for eight-vertex SOS model
- Quantum Affine Knizhnik-Zamolodchikov Equations and Quantum Spherical Functions, I
- Affine Hecke Algebras and Their Graded Version
- Correlation functions and the boundary qKZ equation in a fractured XXZ chain
- Double Affine Hecke Algebras and Bispectral Quantum Knizhnik-Zamolodchikov Equations
- Some basic hypergeometric orthogonal polynomials that generalize Jacobi polynomials
- Quantum integrability of the generalized elliptic Ruijsenaars models
- Integrability of difference Calogero–Moser systems
- Boundary Boltzmann Weight for the Eight-Vertex SOS Model: Vertex-IRF Correspondence
- A general formula for soliton form factors in the quantum sine-Gordon model
- Boundary conditions for integrable quantum systems
- Integrable XYZ spin chain with boundaries
- Boundary K-matrices for the XYZ, XXZ and XXX spin chains
- Boundary qKZ equation and generalized Razumov–Stroganov sum rules for open IRF models
- Quantum Knizhnik–Zamolodchikov equation: reflecting boundary conditions and combinatorics
- vector valued spherical functions and macdonald–koornwinder polynomials
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