The spin Sutherland model of \(D_N\) type and its associated spin chain
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Publication:632057
DOI10.1016/j.nuclphysb.2010.10.005zbMath1207.82004arXiv0909.2968OpenAlexW2006760316MaRDI QIDQ632057
Frederico Finkel, Artemio González-López, Bireswar Basu-Mallick
Publication date: 14 March 2011
Published in: Nuclear Physics. B (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0909.2968
Exactly solvable models; Bethe ansatz (82B23) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)
Related Items (6)
The open Haldane–Shastry chain: thermodynamics and criticality ⋮ Rational quantum integrable systems of \(D_N\) type with polarized spin reversal operators ⋮ A novel class of translationally invariant spin chains with long-range interactions ⋮ Thermodynamics of spin chains of Haldane-Shastry type and one-dimensional vertex models ⋮ Thermodynamics and criticality of supersymmetric spin chains with long-range interactions ⋮ Supersymmetric analogue of \(\mathrm{BC}_{N}\) type rational integrable models with polarized spin reversal operators
Cites Work
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- Spectral properties of supersymmetric Polychronakos spin chain associated with \(A_{N - 1}\) root system
- Haldane-Shastry spin chains of \(BC_{N}\) type
- Exact partition function of \(\text{SU}(m|n)\) supersymmetric Haldane-Shastry spin chain
- Exactly solvable \(D_N\)-type quantum spin models with long-range interaction
- Orthogonal polynomials of types \(A\) and \(B\) and related Calogero models
- The Calogero-Sutherland model and generalized classical polynomials
- Confluent hypergeometric orthogonal polynomials related to the rational quantum Calogero system with harmonic confinement
- The dilatation operator of conformal \(N=4\) super-Yang-Mills theory
- The \(su(2| 3)\) dynamic spin chain
- Fractional statistics in one dimension: View from an exactly solvable model
- 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
- Commuting self-adjoint partial differential operators and a group theoretic problem
- On the Sutherland spin model of \(B_N\) type and its associated spin chain
- Multicomponent Calogero model of \(B_N\)-type confined in a harmonic potential
- Exact spectrum of \(\text{SU}(n)\) spin chain with inverse-square exchange
- The physics and mathematics of Calogero particles
- Yang-Baxter equation in long-range interacting systems
- Integrable spin chain with reflecting end
- Quantum versus classical integrability in Calogero$ndash$Moser systems
- Polynomials associated with equilibrium positions in Calogero Moser systems
- Orthogonality of the Hi-Jack Polynomials Associated with the Calogero Model
- Integrability of Calogero-Moser Spin System
- 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
- Thermodynamics of a One-Dimensional Ideal Gas with Fractional Exclusion Statistics
- Black Holes and Superconformal Mechanics
- Exact Solution of Long-Range Interacting Spin Chains with Boundaries
- Long-range deformations for integrable spin chains
- Spectrum of a spin chain with inverse square exchange
- Black holes and Calogero models
- Horizon states for AdS black holes
- \(A_N\)-type Dunkl operators and new spin Calogero-Sutherland models
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