Exact spectrum of \(\text{SU}(n)\) spin chain with inverse-square exchange
From MaRDI portal
Publication:1967417
DOI10.1016/0550-3213(94)90344-1zbMath0990.82505arXivhep-th/9310095OpenAlexW3099642173MaRDI QIDQ1967417
Publication date: 6 March 2000
Published in: Nuclear Physics. B (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/hep-th/9310095
Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Exactly solvable models; Bethe ansatz (82B23) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Applications of basic hypergeometric functions (33D90)
Related Items
The open Haldane–Shastry chain: thermodynamics and criticality, Elliptic generalisation of integrable q-deformed anisotropic Haldane–Shastry long-range spin chain, Duality in a hyperbolic interaction model integrable even in a strong confinement: multi-soliton solutions and field theory, Boson-fermion duality in \(\text{SU}(m|n)\) supersymmetric Haldane-Shastry spin chain, Composition of many spins, random walks and statistics, Topics in quantum integrable systems, Super Rogers-Szegö polynomials associated with \(BC_{N}\) type of Polychronakos spin chains, Haldane-Shastry spin chains of \(BC_{N}\) type, Exact partition function of \(\text{SU}(m|n)\) supersymmetric Haldane-Shastry spin chain, Partition functions of Polychronakos like spin chains associated with polarized spin reversal operators, Partially Solvable Spin Chains and QES Spin Models, Composing arbitrarily many \(SU(N)\) fundamentals, Emergence of the Calogero family of models in external potentials: duality, solitons and hydrodynamics, Phase transitions in the decomposition of \(SU(N)\) representations, Inozemtsev's hyperbolic spin model and its related spin chain, The spin Sutherland model of \(D_N\) type and its associated spin chain, Rational quantum integrable systems of \(D_N\) type with polarized spin reversal operators, Solvable scalar and spin models with near-neighbors interactions, HIDDEN NONLINEAR SUPERSYMMETRIES IN PURE PARABOSONIC SYSTEMS, Multicomponent Calogero model of \(B_N\)-type confined in a harmonic potential, A novel class of translationally invariant spin chains with long-range interactions, Appearance of branched motifs in the spectra of \(BC_N\) type Polychronakos spin chains, Spectral properties of supersymmetric Polychronakos spin chain associated with \(A_{N - 1}\) root system, Exact solution and thermodynamics of a spin chain with long-range elliptic interactions, Generalized isotropic Lipkin–Meshkov–Glick models: ground state entanglement and quantum entropies, A novel quasi-exactly solvable spin chain with nearest-neighbors interactions, Generalized Lipkin–Meshkov–Glick models of Haldane–Shastry type, Low energy properties of the \(SU(m|n)\) supersymmetric Haldane-Shastry spin chain, Matrix supergroup Chern-Simons models for vortex-antivortex systems, A new perspective on the integrability of Inozemtsev's elliptic spin chain, Yangian-invariant spin models and Fibonacci numbers, Supersymmetric Calogero-Moser-Sutherland models and Jack superpolynomials, Inequivalent quantizations of the rational Calogero model with a Coulomb type interaction, Thermodynamics of spin chains of Haldane-Shastry type and one-dimensional vertex models, An exactly solvable supersymmetric spin chain of \(BC_N\) type, Exactly solvable \(D_N\)-type quantum spin models with long-range interaction, Thermodynamics and criticality of supersymmetric spin chains with long-range interactions, Veneziano amplitudes, spin chains and abelian reduction of QCD, VENEZIANO AMPLITUDES, SPIN CHAINS, AND STRING MODELS, Yangian symmetry and Virasoro character in a lattice spin system with long-range interactions, Symmetries and exact solutions of some integrable Haldane-Shastry-like spin chains, Generalized Calogero models through reductions by discrete symmetries, Generalized Calogero-Sutherland systems from many-matrix models, Supersymmetric Polychronakos spin chain: motif, distribution function, and character, Spin Chains of Haldane–Shastry Type: A Bird’s Eye View, Inequivalent quantizations of the N=3 Calogero model with scale and mirror-S3 symmetry, Level density distribution for one-dimensional vertex models related to Haldane-Shastry like spin chains, Supersymmetric analogue of \(\mathrm{BC}_{N}\) type rational integrable models with polarized spin reversal operators
Cites Work
- Unnamed Item
- Yangian symmetry of integrable quantum chains with long-range interactions and a new description of states in conformal field theory
- Solution of some integrable one-dimensional quantum systems
- Spectrum of a spin chain with inverse square exchange
- Exactly solvable Potts models, bond- and tree-like percolation on dynamical (random) planar lattice