Universal R-matrix and functional relations
From MaRDI portal
Publication:2875649
DOI10.1142/S0129055X14300052zbMath1344.17013arXiv1205.1631OpenAlexW2059514879MaRDI QIDQ2875649
A. V. Razumov, Khazret S. Nirov, H. E. Boos, Frank Göhmann, Andreas Klümper
Publication date: 11 August 2014
Published in: Reviews in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1205.1631
Quantum groups (quantized enveloping algebras) and related deformations (17B37) Applications of Lie algebras and superalgebras to integrable systems (17B80) Yang-Baxter equations (16T25)
Related Items (18)
Highest \(\ell\)-weight representations and functional relations ⋮ The non-compact XXZ spin chain as stochastic particle process ⋮ Baxter \(Q\)-operator and functional relations ⋮ Universal integrability objects ⋮ On Poincaré-Birkhoff-Witt basis of the quantum general linear superalgebra ⋮ Khoroshkin-Tolstoy approach to quantum superalgebras ⋮ Oscillator versus prefundamental representations. II. Arbitrary higher ranks ⋮ Asymptotic representations of augmented \(q\)-Onsager algebra and boundary \(K\)-operators related to Baxter Q-operators ⋮ Universal Baxter TQ-relations for open boundary quantum integrable systems ⋮ Quantum groups and functional relations for arbitrary rank ⋮ Quantum groups and functional relations for lower rank ⋮ \( \ell \)-weights and factorization of transfer operators ⋮ Quantum groups, Verma modules andq-oscillators: general linear case ⋮ Oscillator versus prefundamental representations ⋮ Vertex models and spin chains in formulas and pictures ⋮ Reduced qKZ equation: general case ⋮ Reduced qKZ equation and genuine qKZ equation ⋮ Algebraic Bethe ansatz for Q-operators of the open XXX Heisenberg chain with arbitrary spin
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Baxter Q-operators and representations of Yangians
- On Drinfeld's realization of quantum affine algebras
- Hidden Grassmann structure in the XXZ model. IV: CFT limit
- Hidden Grassmann structure in the \(XXZ\) model. II: Creation operators
- Reduced qKZ equation and correlation functions of the \(XXZ\) model
- Algebraic representation of correlation functions in integrable spin chains
- Quantum inverse problem method. I
- Baxter's Q-operators for supersymmetric spin chains
- A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation
- A \(q\)-analogue of \(U(\mathfrak{gl}(N+1))\), Hecke algebra, and the Yang-Baxter equation
- The uniqueness theorem for the universal \(R\)-matrix
- The universal \(R\)-matrix for quantum untwisted affine Lie algebras
- Integrable structure of conformal field theory. II: \(Q\)-operator and DDV equation
- Integrable structure of conformal field theory. III: The Yang-Baxter relation
- Quantum affine algebras and universal \(R\)-matrix with spectral parameter
- On Baxter's \(Q\)-operator for the \(XXX\) spin chain
- Completeness of the Bethe ansatz for the six- and eight-vertex models.
- The quantum Weyl group and the universal quantum \(R\)-matrix for affine Lie algebra \(A^{(1)}_ 1\)
- Integrable structure of conformal field theory, quantum KdV theory and thermodynamic Bethe ansatz
- The six and eight-vertex models revisited
- Hidden Grassmann structure in the \(XXZ\) model
- Partition function of the eight-vertex lattice model
- Equivalences between spin models induced by defects
- Exercises with the universalR-matrix
- On the universal $\mbox{\boldmath $R$}$-matrix for the Izergin–Korepin model
- AQ-operator for the quantum transfer matrix
- Baxter'sQ-operator for theW-algebraWN
- Hidden Grassmann structure in the XXZ model III: introducing the Matsubara direction
- La R-matrice pour les algèbres quantiques de type affine non tordu1
- A generalizedQ-operator forUqvertex models
- Auxiliary matrices for the six-vertex model atqN 1 and a geometric interpretation of its symmetries
- Quantised affine algebras and parameter-dependent R-matrices
- INFINITE FAMILIES OF GAUGE-EQUIVALENT R-MATRICES AND GRADATIONS OF QUANTIZED AFFINE ALGEBRAS
- Factorization of the transfer matrices for the quantumsell(2) spin chains and Baxter equation
- A Q-operator identity for the correlation functions of the infinite XXZ spin-chain
- A recursion formula for the correlation functions of an inhomogeneous XXX model
- Crystal Statistics. I. A Two-Dimensional Model with an Order-Disorder Transition
- Eight-vertex model in lattice statistics and one-dimensional anisotropic Heisenberg chain. I: Some fundamental eigenvectors.
- Eight-vertex model in lattice statistics and one-dimensional anisotropic Heisenberg chain. III: Eigenvectors of the transfer matrix and Hamiltonian.
- Eight-vertex model in lattice statistics and one-dimensional anisotropic Heisenberg chain. II: Equivalence to a generalized ice-type lattice model.
- Integrable structure of \(W_3\) conformal field theory, quantum Boussinesq theory and boundary affine Toda theory
This page was built for publication: Universal R-matrix and functional relations
