Algebraic Bethe ansatz for \(\mathfrak{o}_{2n+1}\)-invariant integrable models
DOI10.1134/S0040577921010025zbMath1467.81054arXiv2008.03664OpenAlexW3175657178MaRDI QIDQ2036319
Publication date: 29 June 2021
Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2008.03664
Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Exactly solvable models; Bethe ansatz (82B23) Structure of families (Picard-Lefschetz, monodromy, etc.) (14D05) Bethe-Salpeter and other integral equations arising in quantum theory (81Q40) Special quantum systems, such as solvable systems (81Q80)
Related Items (4)
Cites Work
- Unnamed Item
- Universal Bethe ansatz and scalar products of Bethe vectors
- Algebraic Bethe Ansatz for SO(N)-invariant transfer matrices
- A computation of universal weight function for quantum affine algebra \(U_q(\widehat{\mathfrak {gl}}_n)\)
- Isomorphism of two realizations of quantum affine algebra \(U_ q(\widehat{\mathfrak{gl}}(n))\)
- The algebraic Bethe ansatz for rational braid-monoid lattice models
- 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
- Isomorphism between the \(R\)-matrix and Drinfeld presentations of quantum affine algebra: types \(B\) and \(D\)
- Bethe vectors for orthogonal integrable models
- Gauss coordinates vs currents for the Yangian doubles of the classical types
- Spinorial \(R\) operator and algebraic Bethe ansatz
- Nested algebraic Bethe ansatz for orthogonal and symplectic open spin chains
- Nested algebraic Bethe ansatz for deformed orthogonal and symplectic spin chains
- Weight functions and Drinfeld currents
- Yangian doubles of classical types and their vertex representations
- Current presentation for the super-Yangian double $ DY(\mathfrak{gl}(m\vert n))$ and Bethe vectors
- Isomorphism between the R-matrix and Drinfeld presentations of quantum affine algebra: Type C
- Bethe vectors of quantum integrable models based on $U_q(\widehat{\mathfrak {gl}}_{N})$
- Actions of the monodromy matrix elements onto $\mathfrak{g}\mathfrak{l}\left(m\vert n\right)$-invariant Bethe vectors
- Quantum groups
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