Reconstruction of Baxter \(\mathbf Q\)-operator from Sklyanin SOV for cyclic representations of integrable quantum models
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Publication:622757
DOI10.1016/j.nuclphysb.2010.03.009zbMath1204.81090arXiv1001.0035OpenAlexW2015714903MaRDI QIDQ622757
Publication date: 3 February 2011
Published in: Nuclear Physics. B (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1001.0035
NLS equations (nonlinear Schrödinger equations) (35Q55) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Groups and algebras in quantum theory and relations with integrable systems (81R12)
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Cites Work
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- Quantum field theories in finite volume: Excited state energies
- Quantum inverse problem method. I
- On the spectrum of the sinh-Gordon model in finite volume
- Integrable structure of conformal field theory. II: \(Q\)-operator and DDV equation
- Analytical calculation of scaling dimensions: Tricritical hard squares and critical hard hexagons
- Integrable structure of conformal field theory. III: The Yang-Baxter relation
- Hirota equation as an example of an integrable symplectic map
- Nonlinear integral equation and excited-states scaling functions in the sine-Gordon model
- R-operator, co-product and Haar-measure for the modular double of \(U_q(\mathfrak{sl}(2,\mathbb R))\).
- Unified approach to thermodynamic Bethe ansatz and finite size corrections for lattice models and field theories.
- Nonlinear integral equation and finite volume spectrum of sine-Gordon theory
- Functional relations and Bethe Ansatz for the \(XXZ\) chain
- Discrete Heisenberg-Weyl group and modular group
- Quantum discrete sine-Gordon model at roots of 1: Integrable quantum system on the integrable classical background
- Integrable structure of conformal field theory, quantum KdV theory and thermodynamic Bethe ansatz
- Integral representation for the eigenfunctions of a quantum periodic Toda chain
- Transfer matrix functional relations for the generalized \(\tau_2(t_q)\) model
- Noncommutative hypergeometry
- Chiral Potts model as a descendant of the six-vertex model
- Chiral Potts model and the discrete Sine-Gordon model at roots of unity
- The sine–Gordon model revisited: I
- A LECTURE ON THE LIOUVILLE VERTEX OPERATORS (REVIEW)
- Quantization of models with non-compact quantum group symmetry: modular XXZ magnet and lattice sinh-Gordon model
- CRITICAL RSOS MODELS AND CONFORMAL FIELD THEORY
- Central charges of the 6- and 19-vertex models with twisted boundary conditions
- The periodic Toda chain and a matrix generalization of the Bessel function recursion relations
- CYCLIC MONODROMY MATRICES FOR THE R-MATRIX OF THE SIX-VERTEX MODEL AND THE CHIRAL POTTS MODEL WITH FIXED SPIN BOUNDARY CONDITIONS
- QUANTUM DILOGARITHM
- First order analytic difference equations and integrable quantum systems
- A braided Yang–Baxter algebra in a theory of two coupled lattice quantum KdV: algebraic properties and ABA representations
- A generalizedQ-operator forUqvertex models
- Bethe ansatz solution of the open XXZ chain with nondiagonal boundary terms
- New thermodynamic Bethe ansatz equations without strings
- QUANTUM EXPONENTIAL FUNCTION
- From the braided to the usual Yang-Baxter relation
- Baxter'sQ-operator for the homogeneousXXXspin chain
- Form-factors in the Baxter–Bazhanov–Stroganov model I: norms and matrix elements
- Form-factors in the Baxter–Bazhanov–Stroganov model II: Ising model on the finite lattice
- The Baxter–Bazhanov–Stroganov model: separation of variables and the Baxter equation
- Eigenproblem for Jacobi matrices: hypergeometric series solution
- The non-compact quantum dilogarithm and the Baxter equations
- Noncompact Heisenberg spin magnets from high-energy QCD. I: Baxter Q-operator and separation of variables
- Eight-vertex model in lattice statistics and one-dimensional anisotropic Heisenberg chain. I: Some fundamental eigenvectors.
- Clebsch-Gordan and Racah-Wigner coefficients for a continuous series of representations of \(\mathcal U_q(\mathfrak{sl}(2,\mathbb R))\)