The exact solution and the finite-size behaviour of the Osp\((1| 2)\)-invariant spin chain

DOI10.1016/0550-3213(95)00406-IzbMath0925.82055arXivhep-th/9502133MaRDI QIDQ1896504

Yanyan Li

Publication date: 29 August 1995

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

Full work available at URL: https://arxiv.org/abs/hep-th/9502133

zbMATH Keywords

conformal field theoryBethe ansatzstring structuresfinite size propertiesIzergin Korepin vertex model

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Exactly solvable models; Bethe ansatz (82B23) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Finite-dimensional groups and algebras motivated by physics and their representations (81R05)

Related Items

A convenient basis for the Izergin-Korepin model, 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, Bethe ansatz for the Izergin-Korepin model, A NOTE ON THE osp(1|2s) THERMODYNAMIC BETHE ANSATZ EQUATION, Algebraic Bethe ansatz for the Zamolodchikov-Fateev and Izergin-Korepin models with open boundary conditions, One-parameter family of an integrable \(\text{spl}(2| 1)\) vertex model: Algebraic Bethe ansatz and ground state structure, Lax pair formulation for the open boundary Osp(1∣2) spin chain, Finite-size effects in the spectrum of the \(\operatorname{OSp}(3 | 2)\) superspin chain, Flag integrable models and generalized graded algebras, The algebraic Bethe ansatz for the Izergin-Korepin model with open boundary conditions, Completing the solution for the \(\operatorname{OSp}(1|2)\) spin chain, Reflection matrices for theU_q[osp(r|2m)⁽¹⁾ vertex model], Creation operators and Bethe vectors of the osp(1|2) Gaudin model, Exact solution of the \(A_2^{(2)}\) model with non-diagonal boundary reflections, Bethe ansatz solution for quantum spin-1 chains with boundary terms, THERMODYNAMIC BETHE ANSATZ EQUATION FROM FUSION HIERARCHY OF osp(1|2) INTEGRABLE SPIN CHAIN, Geometry and representations of the quantum supergroup OSPq(1|2n), Algebraic Bethe ansatz for the one-dimensional Hubbard model with chemical potential, \(\text{osp}(1|2)\) off-shell Bethe ansatz equations, The twisted quantum affine algebra \(U_ q(A^{(2)}_ 2)\) and correlation functions of the Izergin-Korepin model., Intersecting Loop Model as a Solvable Super Spin Chain

Cites Work

• Quantum superalgebra \(U_q\mathrm{osp}(2,2)\)
• Integrable quantum systems and classical Lie algebras
• Irreducible representations of the osp(2,1) and spl(2,1) graded Lie algebras
• Supersymmetrict-Jmodel in one dimension: Separation of spin and charge
• Exact solution of the Perk-Schultz model
• Algebraic Bethe ansatz for a class of coupled asymmetric six-vertex free-fermion model
• A note on graded Yang-Baxter solutions as braid-monoid invariants