Algebraic Bethe ansatz for \(U(1)\) invariant integrable models: the method and general results

DOI10.1016/j.nuclphysb.2008.07.023zbMath1192.82023arXiv0806.2404OpenAlexW2033741348MaRDI QIDQ985762

J. Martínez

Publication date: 6 August 2010

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0806.2404

zbMATH Keywords

algebraic Bethe ansatzlattice integrable models. Yang-Baxter equation

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

The spectrum of a vertex model and related spin one chain sitting in a genus five curve, Correlation functions of the integrable higher-spin XXX and XXZ spin chains through the fusion method, Finite size properties of staggered \(U_q[sl(21)\) superspin chains], Integrable three-state vertex models with weights lying on genus five curves, Algebraic Bethe ansatz for \(U(1)\) invariant integrable models: compact and non-compact applications, The monodromy matrix in the F-basis for arbitrary six-vertex models, General scalar products in the arbitrary six-vertex model, Thermodynamics of quantum spin chains with competing interactions, Erratum to: Form factors of integrable higher-spin XXZ chains and the affine quantum-group symmetry., Scalar product of Bethe vectors from functional equations, Algebraic Bethe ansatz for Q-operators of the open XXX Heisenberg chain with arbitrary spin

Cites Work

• \(R\)-matrices and spectrum of vertex models based on superalgebras
• Solutions of the reflection equation for the \(U_q[G_2\) vertex model]
• A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation
• Exact solution of the Heisenberg XXZ model of spin s
• Yang-Baxter equation and representation theory. I
• Algebraic Bethe ansatz for \(U(1)\) invariant integrable models: compact and non-compact applications
• The quantum inverse scattering method approach to correlation functions.
• The Bethe ansatz approach for factorizable centrally extended \(\text{su}(2|2)\) \(S\)-matrices
• CORRELATION FUNCTIONS OF THE XXZ SPIN-½ HEISENBERG CHAIN: RECENT ADVANCES (REVIEW)
• Exactly solvable models of interacting spin-sparticles in one dimension
• Quantum groups
• Algebraic Bethe ansatz for the gl\((1|2)\) generalized model and Lieb-Wu equations
• Unnamed Item
• Unnamed Item
• Unnamed Item