Solution of the dual reflection equation for An−1(1) solid-on-solid model

DOI10.1063/1.1795972zbMath1064.82009arXivhep-th/0308118OpenAlexW1609454719MaRDI QIDQ3024117

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Publication date: 30 June 2005

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

Full work available at URL: https://arxiv.org/abs/hep-th/0308118

Mathematics Subject Classification ID

Exactly solvable models; Bethe ansatz (82B23) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (13)

Exact solution of the \(XXZ\) Gaudin model with generic open boundaries ⋮ \(A_{n-1}\) Gaudin model with open boundaries ⋮ Exact solution of \(\mathbb{Z}_n\) Belavin model with open boundary condition ⋮ Random attractor of stochastic complex Ginzburg–Landau equation with multiplicative noise on unbounded domain ⋮ Pullback attractor for nonautonomous Ginzburg-Landau equation with additive noise ⋮ Retrieve the Bethe states of quantum integrable models solved via the off-diagonal Bethe Ansatz ⋮ Multiple reference states and complete spectrum of the \(\mathbb Z_{n}\) Belavin model with open boundaries ⋮ Determinant representations of scalar products for the open XXZ chain with non-diagonal boundary terms ⋮ Attractor for nonlinear Schrödinger equation coupling with stochastic weakly damped, forced KdV equation ⋮ Spin chains from dynamical quadratic algebras ⋮ Random attractors of Boussinesq equations with multiplicative noise ⋮ Asymptotic behavior of non-autonomous stochastic complex Ginzburg–Landau equations on unbounded thin domains ⋮ Asymptotic behavior of two-dimensional stochastic magneto-hydrodynamics equations with additive noises

Cites Work

• Factorizing particles on a half-line and root systems
• Solvable lattice models related to the vector representation of classical simple Lie algebras
• Exact solution of \(\mathbb{Z}_n\) Belavin model with open boundary condition
• Dynamical symmetry of integrable quantum systems
• Algebraic Bethe ansatz for the eight-vertex model with general open boundary conditions
• QUANTUM ALGEBRA STRUCTURE OF EXACTLY SOLUBLE QUANTUM SPIN CHAINS
• General solution of reflection equation for eight-vertex SOS model
• Integrable $A^{(1)}_{n-1}$ IRF Model with Reflecting Boundary Conditions
• Difference equations for correlation functions ofA⁽¹⁾_n-1-face model with boundary reflection
• Boundary conditions for integrable quantum systems
• Some Exact Results for the Many-Body Problem in one Dimension with Repulsive Delta-Function Interaction

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