Fusion \(U_q(G^{(1)}_2)\) vertex models and analytic Bethe ansätze

DOI10.1016/0375-9601(94)90151-1zbMath0941.82517arXivhep-th/9405201OpenAlexW3101301598MaRDI QIDQ1965098

Junji Suzuki

Publication date: 6 February 2000

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9405201

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Exactly solvable models; Bethe ansatz (82B23)

Related Items

The diluteA_Lmodels and the Φ_1,2perturbation of unitary minimal CFTs, Analytic Bethe ansatz for fundamental representations of Yangians, The spectrum properties of an integrable \(G_2\) invariant vertex model, Diagonal \(K\)-matrices and transfer matrix eigenspectra associated with the \(G^{(1)}_2\) \(R\)-matrix, THERMODYNAMIC BETHE ANSATZ EQUATION FROM FUSION HIERARCHY OF osp(1|2) INTEGRABLE SPIN CHAIN, Nonlinear integral equations for the thermodynamics of thesl(4)-symmetric Uimin–Sutherland model, From fusion hierarchy to excited state TBA, Quantum Jacobi-Trudi formula and \(E_8\) structure in the Ising model in a field

Cites Work

• Unnamed Item
• Unnamed Item
• A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation
• The spectrum of the transfer matrices connected with Kac-Moody algebras
• Yang-Baxter equation and representation theory. I
• Quantum affine algebras
• Quantum R matrix for G₂and a solvable 175-vertex model
• Analytic Bethe ansatz and T-system in C₂⁽¹⁾vertex models
• Some Exact Results for the Many-Body Problem in one Dimension with Repulsive Delta-Function Interaction