Crystallizing the spinon basis
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Publication:1924016
DOI10.1007/BF02104914zbMath0870.17021arXivhep-th/9504052MaRDI QIDQ1924016
Atsushi Nakayashiki, Yasuhiko Yamada
Publication date: 18 September 1997
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/hep-th/9504052
quantum groupshighest weight modulesYangianquasi-particle structurecrystalline spinon basisfermionic character formulashigher spin XXZ model
Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Applications of Lie (super)algebras to physics, etc. (17B81) Exactly solvable models; Bethe ansatz (82B23)
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Cites Work
- Unnamed Item
- Unnamed Item
- Spectrum and scattering of excitations in the one-dimensional isotropic Heisenberg model
- Eight-vertex SOS model and generalized Rogers-Ramanujan-type identities
- The Bethe Ansatz and the combinatorics of Young tableaux
- Combinatorics of representations of \(U_ q (\widehat{\mathfrak sl}(n))\) at \(q=0\)
- On crystal bases of the \(q\)-analogue of universal enveloping algebras
- Quantum affine algebras and holonomic difference equations
- Diagonalization of the \(XXZ\) Hamiltonian by vertex operators
- Crystal base and \(q\)-vertex operators
- The crystal base and Littelmann's refined Demazure character formula
- Crystal bases of modified quantized enveloping algebra
- Spinons in conformal field theory
- Creation/annihilation operators and form factors of the \(XXZ\) model
- CHARACTERS IN CONFORMAL FIELD THEORIES FROM THERMODYNAMIC BETHE ANSATZ
- S-matrices in integrable models of isotropic magnetic chains. I
- AFFINE CRYSTALS AND VERTEX MODELS
- DYNAMICAL SYMMETRIES OF MASSIVE INTEGRABLE MODELS 1: FORM FACTOR BOOTSTRAP EQUATIONS AS A SPECIAL CASE OF DEFORMED KNIZHNIK-ZAMOLODCHIKOV EQUATIONS
- Yangian symmetry of integrable quantum chains with long-range interactions and a new description of states in conformal field theory