The \(q\)-deformed Haldane-Shastry spin chain model and the corresponding topological basis realization
DOI10.1007/s10773-021-04961-3zbMath1476.82003OpenAlexW3210292506MaRDI QIDQ2063922
Yue Deng, Chunfang Sun, Yizi Zhu
Publication date: 3 January 2022
Published in: International Journal of Theoretical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10773-021-04961-3
Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Exactly solvable models; Bethe ansatz (82B23) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Groups and algebras in quantum theory and relations with integrable systems (81R12)
Cites Work
- Eight-vertex SOS model and generalized Rogers-Ramanujan-type identities
- State models and the Jones polynomial
- The dilatation operator of conformal \(N=4\) super-Yang-Mills theory
- The \(su(2| 3)\) dynamic spin chain
- 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
- A class of interaction-round-a-face models and its equivalence with an ice-type model
- The Haldane-Shastry spin chain and the topological basis realization
- Lie symmetries of a generalised nonlinear Schrodinger equation: I. The symmetry group and its subgroups
- Quantum symmetry algebras of spin systems related to Temperley–Lieb R-matrices
- The Haldane - Shastry model and RTT relations
- Yang-Baxter equation in long-range interacting systems
- Algebraic structure of translation-invariant spin-1/2xxzandq-Potts quantum chains
- Yangian symmetry of integrable quantum chains with long-range interactions and a new description of states in conformal field theory
- YANG–BAXTER EQUATIONS IN QUANTUM INFORMATION
- The Temperley–Lieb algebra and its generalizations in the Potts andXXZmodels
- Long-range deformations for integrable spin chains
- A Temperley–Lieb quantum chain with two- and three-site interactions
- Yangian symmetry of long-range \mathfrak {g}\mathfrak {l}(N) integrable spin chains
- Teleportation, braid group and Temperley–Lieb algebra
- Relations between the ‘percolation’ and ‘colouring’ problem and other graph-theoretical problems associated with regular planar lattices: some exact results for the ‘percolation’ problem
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