Exact solution and finite size properties of the \(U_{q}[\text{osp}(2| 2m)]\) vertex models

DOI10.1016/j.nuclphysb.2007.01.022zbMath1117.82016arXivhep-th/0612281OpenAlexW1646561366MaRDI QIDQ881360

N. E. Zubov

Publication date: 22 May 2007

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/0612281

zbMATH Keywords

lattice modelsalgebraic Bethe ansatzfinite size

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Exactly solvable models; Bethe ansatz (82B23) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (11)

The fine structure of the finite-size effects for the spectrum of the \(\operatorname{OSp}(n|2m)\) spin chain ⋮ Spontaneous symmetry breaking in 2D supersphere sigma models and applications to intersecting loop soups ⋮ Scattering and duality in the 2 dimensional OSp\((2\mid 2)\) Gross Neveu and sigma models ⋮ Reflection matrices for the \(U_q[sl(r|2m)^{(2)}\) vertex model] ⋮ Finite size properties of staggered \(U_q[sl(21)\) superspin chains] ⋮ Reflection matrices withU_q[osp⁽²⁾(2|2m) symmetry] ⋮ Phase diagram of an integrable alternating \(U_q[sl(2|1)\) superspin chain] ⋮ The continuum limit of gl(\(M|N\)) spin chains ⋮ Reflection matrices for theU_q[osp(r|2m)⁽¹⁾ vertex model] ⋮ On the critical behaviour of the integrable \(q\)-deformed \textit{OSp}(3|2) superspin chain ⋮ Multi-parametric R-matrix for the $\mathfrak {sl}(2|1)$sl(2|1) Yangian

Cites Work

• Unnamed Item
• Unnamed Item
• \(R\)-matrices and spectrum of vertex models based on superalgebras
• Continuum limit of the integrable \(sl(2/1)3-\bar 3\) superspin chain
• The arboreal gas and the supersphere sigma model
• New \(R\)-matrices from representations of braid-monoid algebras based on superalgebras
• Algebraic Bethe ansatz for an integrable \(U_{q}[sl(n| m)\) vertex model with mixed representations]
• Conformal invariance, the XXZ chain and the operator content of two- dimensional critical systems
• Current algebras and Wess-Zumino model in two dimensions
• The algebraic Bethe ansatz for rational braid-monoid lattice models
• From fusion hierarchy to excited state TBA
• Unified approach to thermodynamic Bethe ansatz and finite size corrections for lattice models and field theories.
• Doped Heisenberg chains: spin-\(S\) generalizations of the supersymmetric \(t\)-\(J\) model
• The thermodynamic limit and the finite-size behaviour of the fundamental Sp\((2N)\) spin chain
• Dense Loops, Supersymmetry, and Goldstone Phases in Two Dimensions
• Lax operator for the quantized orthosymplectic superalgebraU_q[osp(2|n)]
• Twisted quantum affine superalgebra , invariantR-matrices and a new integrable electronic model
• Exact solution of the Perk-Schultz model
• Intersecting Loop Model as a Solvable Super Spin Chain
• U_qosp(2,2) lattice models
• Solvable lattice models labelled by Dynkin diagrams
• The exact \(S\)-matrix for an \(\text{osp}(2| 2)\) disordered system.

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