Heisenberg spin chains based on \(\text{sl}(2|1)\) symmetry

DOI10.1016/S0550-3213(00)00346-1zbMath0984.82011arXivnlin/0003029MaRDI QIDQ5934967

Roland Kirschner, D. R. Karakhanyan, Sergey E. Derkachov

Publication date: 14 May 2001

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

Full work available at URL: https://arxiv.org/abs/nlin/0003029

Mathematics Subject Classification ID

Applications of Lie (super)algebras to physics, etc. (17B81) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items

On the massless modes of the \(\mathrm{AdS}_3/\mathrm{CFT}_2\) integrable systems, Continuum limit of the integrable \(sl(2/1)3-\bar 3\) superspin chain, Algebraic Bethe ansatz for an integrable \(U_{q}[sl(n| m)\) vertex model with mixed representations], Universal \(R\) operator with Jordanian deformation of conformal symmetry, Integrability, spin-chains and the AdS\({}_{3}\)/CFT\({}_{2}\) correspondence, On super Yangian covariance of the triple product system, Correlators with \(\operatorname{s\ell}_{2}\) Yangian symmetry, Universal \(R\)-matrix as integral operator, The BaxterQ-operator for the gradedSL(2|1) spin chain, Universal \(R\) operator with deformed conformal symmetry

Cites Work

• Yang-Baxter equation and representation theory. I
• Algebraic properties of an integrable \(t\)-\(J\) model with impurities
• Doped Heisenberg chains: spin-\(S\) generalizations of the supersymmetric \(t\)-\(J\) model
• Algebraic Bethe ansatz for \(gl(2,1)\) invariant 36-vertex models
• One-parameter family of an integrable \(\text{spl}(2| 1)\) vertex model: Algebraic Bethe ansatz and ground state structure
• The supersymmetric \(t\)-\(J\) model with quantum group invariance.
• Casimir invariants and characteristic identities for generators of the general linear, special linear and orthosymplectic graded Lie algebras
• The tensor product of two irreducible representations of the spl(2,1) superalgebra
• Irreducible representations of the osp(2,1) and spl(2,1) graded Lie algebras
• Quantum group invariant supersymmetrict-Jmodel with periodic boundary conditions
• High-energy Scattering in Gauge Theories and Integrable Spin Chains
• Boundary conditions for integrable quantum systems
• Classical and quantum sl(1‖2) superalgebras, Casimir operators and quantum chain Hamiltonians
• U_qosp(2,2) lattice models
• Implications of \(\mathcal N=1\) supersymmetry for QCD conformal operators.
• Unnamed Item
• Unnamed Item
• Unnamed Item