Scalar products of Bethe vectors in the models with \(\mathfrak{gl}(m | n)\) symmetry
From MaRDI portal
Publication:1676126
DOI10.1016/j.nuclphysb.2017.07.020zbMath1373.82031arXiv1704.08173OpenAlexW2610347371MaRDI QIDQ1676126
Publication date: 3 November 2017
Published in: Nuclear Physics. B (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1704.08173
Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Model quantum field theories (81T10) Exactly solvable models; Bethe ansatz (82B23) Quantum equilibrium statistical mechanics (general) (82B10) Superalgebras (17A70) Applications of Lie algebras and superalgebras to integrable systems (17B80) Hopf algebras and their applications (16T05)
Related Items
Recurrence relations for off-shell Bethe vectors in trigonometric integrable models, Norms and scalar products for AdS 3, On exact overlaps for \(\mathfrak{gl}(N)\) symmetric spin chains, Superspin chains and supersymmetric gauge theories, Bethe vectors for orthogonal integrable models, Integrable crosscap states in \(\mathfrak{gl}(N)\) spin chains, Norm of Bethe vectors in models with \(\mathfrak{gl}(m | n)\) symmetry, Separated variables and wave functions for rational gl(N) spin chains in the companion twist frame, Nested algebraic Bethe ansatz for open spin chains with even twisted Yangian symmetry, Nested algebraic Bethe ansatz for orthogonal and symplectic open spin chains, Scalar product of twisted XXX modified Bethe vectors, On factorized overlaps: algebraic Bethe ansatz, twists, and separation of variables, Algebraic Bethe ansatz for \(\mathfrak{o}_{2n+1}\)-invariant integrable models, New compact construction of eigenstates for supersymmetric spin chains, Actions of the monodromy matrix elements onto $\mathfrak{g}\mathfrak{l}\left(m\vert n\right)$-invariant Bethe vectors
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Form factors of the monodromy matrix entries in \(\mathfrak{gl}(2 | 1)\)-invariant integrable models
- Zero modes method and form factors in quantum integrable models
- Tailoring three-point functions and integrability
- Bethe vectors for composite models with \(\mathfrak{gl}(2|1)\) and \(\mathfrak{gl}(1|2)\) supersymmetry
- Multiple commutation relations in the models with \(\mathfrak{gl}(2|1)\) symmetry
- Calculation of norms of Bethe wave functions
- Solutions of the Yang-Baxter equation
- Quantum inverse problem method. I
- A computation of universal weight function for quantum affine algebra \(U_q(\widehat{\mathfrak {gl}}_n)\)
- Isomorphism of two realizations of quantum affine algebra \(U_ q(\widehat{\mathfrak{gl}}(n))\)
- New construction of eigenstates and separation of variables for SU(\(N\)) quantum spin chains
- Colour-independent partition functions in coloured vertex models
- Scalar products in models with the \(\mathrm{GL}(3)\) trigonometric \(R\)-matrix: general case
- Multiple integral formulae for the scalar product of on-shell and off-shell Bethe vectors in \(SU(3)\)-invariant models
- Scalar products in generalized models with \(\mathrm{SU}(3)\)-symmetry
- Scalar products of Bethe vectors in models with $\mathfrak{g}\mathfrak{l}(2|1)$ symmetry 2. Determinant representation
- Yang–Baxter integrable models in experiments: from condensed matter to ultracold atoms
- General boundary conditions for the and open spin chains
- Scalar products of Bethe vectors in models with ${\mathfrak{gl}}(2| 1)$ symmetry 1. Super-analog of Reshetikhin formula
- The algebraic Bethe ansatz for scalar products inSU(3)-invariant integrable models
- Highest coefficient of scalar products inSU(3)-invariant integrable models
- Scalar products in GL(3)-based models with trigonometric R-matrix. Determinant representation
- Form factors of local operators in supersymmetric quantum integrable models
- Diagonalisation of GL(N) invariant transfer matrices and quantum N-wave system (Lee model)
- Algebraic Bethe ansatz for the gl(1|2) generalized model: II. the three gradings
- Bethe vectors for models based on the super-Yangian $\boldsymbol{Y}(\mathfrak{gl}\boldsymbol{(m|n))}$
- SPECTRUM OF LOW-LYING EXCITATIONS IN A SUPERSYMMETRIC EXTENDED HUBBARD MODEL
- Current presentation for the super-Yangian double $ DY(\mathfrak{gl}(m\vert n))$ and Bethe vectors
- Norm of a Bethe vector and the Hessian of the master function
