Drinfeld twists and algebraic Bethe ansatz of the supersymmetric model associated with \(U_q(\mathrm{gl}(m| n))\)

DOI10.1007/s00220-005-1513-4zbMath1114.81052arXivhep-th/0503003OpenAlexW2157796018MaRDI QIDQ852411

Wen-Li Yang, Yao-Zhong Zhang, Shao-You Zhao

Publication date: 29 November 2006

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

Full work available at URL: https://arxiv.org/abs/hep-th/0503003

zbMATH Keywords

representationquantum superalgebrasupersymmetric 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) Supersymmetric field theories in quantum mechanics (81T60) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10)

Related Items (10)

Supersymmetric vertex models with domain wall boundary conditions ⋮ A convenient basis for the Izergin-Korepin model ⋮ A representation basis for the quantum integrable spin chain associated with the \(su(3)\) algebra ⋮ Drinfeld twists of the open XXZ chain with non-diagonal boundary terms ⋮ Determinant formula for the partition function of the six-vertex model with a non-diagonal reflecting end ⋮ The factorized \(F\)-matrices for arbitrary \(U(1)^{N-1}\) integrable vertex models ⋮ The monodromy matrix in the F-basis for arbitrary six-vertex models ⋮ Determinant representations of scalar products for the open XXZ chain with non-diagonal boundary terms ⋮ Scalar products of the open XYZ chain with non-diagonal boundary terms ⋮ Determinant representations of correlation functions for the supersymmetric \(t\)-\(J\) model

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Solutions of the Yang-Baxter equation
• Quantum inverse problem method. I
• Integrable graded magnets
• Trigonometric solutions of triangle equations. Simple Lie superalgebras
• Drinfel'd twists and functional Bethe Ansatz
• Form factors of the \(XXZ\) Heisenberg spin-\(\frac 12\) finite chain
• Spontaneous magnetization of the \(XXZ\) Heisenberg spin-\(\frac 12\) chain
• On defining relations of affine Lie superalgebras and affine quantized universal enveloping superalgebras
• Polarization-free generators for the Belavin model
• New exactly solvable model of strongly correlated electrons motivated by high-<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="italic">T</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="italic">c</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math>superconductivity
• Solution of the quantum inverse problem
• Resolution of the nested hierarchy for rationalsl(n) models
• Drinfeld twists and symmetric Bethe vectors of supersymmetric fermion models
• An f-twisted \(XYZ\) model

This page was built for publication: Drinfeld twists and algebraic Bethe ansatz of the supersymmetric model associated with \(U_q(\mathrm{gl}(m| n))\)