Algebraic Bethe Ansatz for SO(N)-invariant transfer matrices

DOI10.1007/BF01101125zbMath0723.22026MaRDI QIDQ757622

Nicolai Reshetikhin

Publication date: 1991

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/67984

zbMATH Keywords

eigenvaluesalgebraic Bethe ansatzspinor representationsSO(N)-invariant R-matricestransfer-matrices

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Applications of Lie groups to the sciences; explicit representations (22E70) Constructive quantum field theory (81T08) Geometric quantization (53D50) Applications of linear algebraic groups to the sciences (20G45)

Related Items (10)

Yangians and Yang-Baxter R-operators for ortho-symplectic superalgebras ⋮ Nested algebraic Bethe ansatz for open spin chains with even twisted Yangian symmetry ⋮ 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 ⋮ Yang-Baxter \(R\)-operators for \(osp\) superalgebras ⋮ Representations of orthogonal and symplectic Yangians ⋮ Boundary quantum Knizhnik-Zamolodchikov equations and Bethe vectors ⋮ Algebraic Bethe ansatz for \(\mathfrak{o}_{2n+1}\)-invariant integrable models ⋮ ODE/IM correspondence for affine Lie algebras: a numerical approach

Cites Work

• Calculation of norms of Bethe wave functions
• Quantum inverse problem method. I
• Diagonalisation of GL(N) invariant transfer matrices and quantum N-wave system (Lee model)

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