Boson-fermion duality in \(\text{SU}(m|n)\) supersymmetric Haldane-Shastry spin chain
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Publication:2381446
DOI10.1016/j.nuclphysb.2007.05.007zbMath1122.82005arXivhep-th/0703240OpenAlexW2091988811MaRDI QIDQ2381446
Kazuhiro Hikami, Nilanjan Bondyopadhaya, Diptiman Sen, Bireswar Basu-Mallick
Publication date: 17 September 2007
Published in: Nuclear Physics. B (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/hep-th/0703240
Exactly solvable models; Bethe ansatz (82B23) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Supersymmetry and quantum mechanics (81Q60)
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Cites Work
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- Quantum Berezinian and the classical Capelli identity
- The fermion density operator in the droplet bosonization picture
- Exact partition function of \(\text{SU}(m|n)\) supersymmetric Haldane-Shastry spin chain
- 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
- Supersymmetric Polychronakos spin chain: motif, distribution function, and character
- Exact spectrum of \(\text{SU}(n)\) spin chain with inverse-square exchange
- Enlarged symmetry algebras of spin chains, loop models, and \(S\)-matrices
- Exact Spectrum and Partition Function of SU(m|n) Supersymmetric Polychronakos Model
- Exact Results for Highly Correlated Electron Systems in One Dimension
- The algebraic structure of the gl(n|m) color Calogero–Sutherland models
- Yang-Baxter equation in long-range interacting systems
- 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
- Symmetry, duality, and anholonomy of point interactions in one dimension