Supersymmetric Polychronakos spin chain: motif, distribution function, and character

DOI10.1016/S0550-3213(99)00585-4zbMath0955.82009arXivmath-ph/9904033WikidataQ127956468 ScholiaQ127956468MaRDI QIDQ1572458

Kazuhiro Hikami, Bireswar Basu-Mallick

Publication date: 12 July 2000

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

Full work available at URL: https://arxiv.org/abs/math-ph/9904033

zbMATH Keywords

character formulaedegeneracy patternsdistribution function for quasi-particleshyper-multiplet structuresupersymmetric skew Young diagrams

Mathematics Subject Classification ID

Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Connections of basic hypergeometric functions with quantum groups, Chevalley groups, (p)-adic groups, Hecke algebras, and related topics (33D80)

Related Items (19)

The open Haldane–Shastry chain: thermodynamics and criticality ⋮ Boson-fermion duality in \(\text{SU}(m|n)\) supersymmetric Haldane-Shastry spin chain ⋮ Super Rogers-Szegö polynomials associated with \(BC_{N}\) type of Polychronakos spin chains ⋮ 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 ⋮ Rational quantum integrable systems of \(D_N\) type with polarized spin reversal operators ⋮ Supersymmetric t-J models with long-range interactions: thermodynamics and criticality ⋮ 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 ⋮ Low energy properties of the \(SU(m|n)\) supersymmetric Haldane-Shastry spin chain ⋮ Matrix supergroup Chern-Simons models for vortex-antivortex systems ⋮ Yangian-invariant spin models and Fibonacci numbers ⋮ An exactly solvable supersymmetric spin chain of \(BC_N\) type ⋮ Thermodynamics and criticality of supersymmetric spin chains with long-range interactions ⋮ Principally specialized characters of \(\widehat{\mathfrak{sl}}(m| 1)\)-modules ⋮ Spin Chains of Haldane–Shastry Type: A Bird’s Eye View ⋮ 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

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• Spinons in conformal field theory
• Skew Young diagram method in spectral decomposition of integrable lattice 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
• Exclusion statistics in conformal field theory -- generalized fermions and spinons for level-\(1\) WZW theories
• Character and TBA for an ideal \(g\)-on gas
• Exact spectrum of \(\text{SU}(n)\) spin chain with inverse-square exchange
• Exact Spectrum and Partition Function of SU(m|n) Supersymmetric Polychronakos Model
• Branching rules for the supergroup SU(N/M) from those of SU(N+M)
• Representation of the Yangian invariant motif and the Macdonald polynomial
• Representation of Motifs New Aspect of the Rogers-Szegö Polynomial
• ‘‘Fractional statistics’’ in arbitrary dimensions: A generalization of the Pauli principle
• Yangian symmetry of integrable quantum chains with long-range interactions and a new description of states in conformal field theory
• Exclusion Statistics in Conformal Field Theory Spectra
• Spectrum of a spin chain with inverse square exchange

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