Nested algebraic Bethe ansatz for open spin chains with even twisted Yangian symmetry
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Publication:1725703
DOI10.1007/s00023-018-0731-1zbMath1416.82012arXiv1710.08409OpenAlexW2765929877MaRDI QIDQ1725703
Allan Gerrard, Vidas Regelskis, Niall J. MacKay
Publication date: 14 February 2019
Published in: Annales Henri Poincaré (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1710.08409
Quantum groups (quantized enveloping algebras) and related deformations (17B37) Exactly solvable models; Bethe ansatz (82B23) Groups and algebras in quantum theory and relations with integrable systems (81R12)
Related Items (3)
More on affine Dynkin quiver Yangians ⋮ Nested algebraic Bethe ansatz for orthogonal and symplectic open spin chains ⋮ Gelfand-Tsetlin degeneration of shift of argument subalgebras in types B, C and D
Cites Work
- Unnamed Item
- Unnamed Item
- Twisted Yangians for symmetric pairs of types B, C, D
- Bethe ansatz for the universal weight function
- Algebraic Bethe Ansatz for SO(N)-invariant transfer matrices
- Calculation of norms of Bethe wave functions
- Spectrum and Bethe ansatz equations for the \(U_q(\text{gl}(N))\) closed and open spin chains in any representation
- Master equation for spin-spin correlation functions of the \(XXZ\) chain
- \(\mathrm{GL}(3)\)-based quantum integrable composite models. I: Bethe vectors
- Quantum inverse problem method. I
- Bethe ansatz for the Izergin-Korepin model
- Form factors of the \(XXZ\) Heisenberg spin-\(\frac 12\) finite chain
- Algebraic Bethe ansatz for \(O(2N)\) sigma models with integrable diagonal boundaries
- Isomorphism between the \(R\)-matrix and Drinfeld presentations of Yangian in types \(B\), \(C\) and \(D\)
- Scalar products of Bethe vectors in the models with \(\mathfrak{gl}(m | n)\) symmetry
- Norm of Bethe vectors in models with \(\mathfrak{gl}(m | n)\) symmetry
- Irreducibility criterion for tensor products of Yangian evaluation modules.
- The quantum inverse scattering method approach to correlation functions.
- Combinatorial formulae for nested Bethe vectors
- Functional relations from the Yang-Baxter algebra: Eigenvalues of the \(XXZ\) model with non-diagonal twisted and open boundary conditions
- Quantum spin chain with `soliton non-preserving' boundary conditions
- General boundary conditions for the and open spin chains
- Form factor approach to dynamical correlation functions in critical models
- The $\mathfrak{sl}({\mathcal N})$ twisted Yangian: bulk-boundary scattering and defects
- Diagonalisation of GL(N) invariant transfer matrices and quantum N-wave system (Lee model)
- The nested Bethe ansatz for ‘all’ closed spin chains
- The nested Bethe ansatz for ‘all’ open spin chains with diagonal boundary conditions
- Twisted yangians and infinite-dimensional classical Lie algebras
- Yangians and classical Lie algebras
- Bethe vectors for models based on the super-Yangian $\boldsymbol{Y}(\mathfrak{gl}\boldsymbol{(m|n))}$
- Finite-dimensional irreducible representations of twisted Yangians
- Boundary conditions for integrable quantum systems
- Exact solution and interfacial tension of the six-vertex model with anti-periodic boundary conditions
- On boundary fusion and functional relations in the Baxterized affine Hecke algebra
- Off-Diagonal Bethe Ansatz for Exactly Solvable Models
- The algebraic Bethe ansatz and quantum integrable systems
- Bethe vectors of quantum integrable models based on $U_q(\widehat{\mathfrak {gl}}_{N})$
- ANALYTICAL BETHE ANSATZ FOR OPEN SPIN CHAINS WITH SOLITON NONPRESERVING BOUNDARY CONDITIONS
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