The Uq(sln∧) analogue of the XXZ chain with a boundary

DOI10.1063/1.533351zbMath0977.82015arXivsolv-int/9905009OpenAlexW3101070406MaRDI QIDQ2738050

Hirotoshi Furutsu, Takeo Kojima

Publication date: 30 August 2001

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

Full work available at URL: https://arxiv.org/abs/solv-int/9905009

zbMATH Keywords

\(XXZ\) spin chainquantum integrable systemsvacuum vectorboundary magnetic fieldboundary spontaneous magnetizationexplicit bosonic formulasnon-free-fermion model

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Exactly solvable models; Bethe ansatz (82B23) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (14)

THE AFFINE $A_{n-1}^{(1)}$ TODA FIELDS WITH BOUNDARY REFLECTION ⋮ EXCHANGE RELATIONS OF LEVEL-TWO VERTEX OPERATORS OF $U_q (\widehat{{\rm sl}_2})$ ⋮ A REMARK ON GROUND STATE OF BOUNDARY IZERGIN–KOREPIN MODEL ⋮ Correlation functions of the half-infinite XXZ spin chain with a triangular boundary ⋮ THE MASSLESS XXZ CHAIN WITH A BOUNDARY ⋮ Correlation functions and the boundary qKZ equation in a fractured XXZ chain ⋮ Form factors of the half-infinite XXZ spin chain with a triangular boundary ⋮ Boundary state of a ${{U}_{q}}\left(\widehat{gl}(N|N)\right)$ analogue of the half-infinitet−Jmodel ⋮ THE SU(n)-INVARIANT MASSIVE THIRRING MODEL WITH BOUNDARY REFLECTION ⋮ Diagonalization of transfer matrix of supersymmetry $U_{q}(\widehat{sl}(M+1|N+1))$Uq(sl̂(M+1|N+1)) chain with a boundary ⋮ Higher order relations for ADE-type generalized \(q\)-Onsager algebras ⋮ Higher rank classical analogs of the Askey-Wilson algebra from the sl_N Onsager algebra ⋮ Diagonalization of infinite transfer matrix of boundary Uq,p(AN−1(1)) face model ⋮ Vertex Operator Approach to Semi-infiniteSpin Chain: Recent Progress

Cites Work

• Ground-state correlation functions for an impenetrable Bose gas with Neumann or Dirichlet boundary conditions
• Staggered polarization of vertex models with \(U_ q(\widehat {sl}(n))\)- symmetry
• Free field representation for massive integrable models
• Duality and quantum-algebra symmetry of the \(A^{(1)}_{\mathcal N-1}\) open spin chain with diagonal boundary fields
• \(XXZ\) chain with a boundary
• Bosonization of Quantum Sine–Gordon Field with Boundary
• Boundary K-matrices for the six vertex and the n(2n-1)A_n-1vertex models
• Dynamical Correlation Functions for an Impenetrable Bose Gas with Neumann or Dirichlet Boundary Conditions
• Boundary conditions for integrable quantum systems

This page was built for publication: The Uq(sln∧) analogue of the XXZ chain with a boundary