Multiparameter statistical models from \(N^2 \times N^2\) braid matrices: explicit eigenvalues of transfer matrices \textbf{T}\(^{(r)}\), spin chains, factorizable scatterings for all \(N\)
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Publication:447487
DOI10.1155/2012/193190zbMath1251.82012arXiv0806.2371OpenAlexW2092736134WikidataQ58699540 ScholiaQ58699540MaRDI QIDQ447487
B. Abdesselam, Amithaba Chakrabarti
Publication date: 4 September 2012
Published in: Advances in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0806.2371
Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Matrix equations and identities (15A24) Exactly solvable models; Bethe ansatz (82B23) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)
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Cites Work
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- Exotic bialgebra \(S03\): representations, Baxterisation and applications.
- Universal quantum gates
- A nested sequence of projectors and corresponding braid matrices R̂(θ). 1. Odd dimensions
- Nested sequence of projectors. II. Multiparameter multistate statistical models, Hamiltonians, S-matrices
- YANG-BAXTER ALGEBRAS, INTEGRABLE THEORIES AND QUANTUM GROUPS
- Higher dimensional unitary braid matrices: Construction, associated structures, and entanglements
- Higher dimensional multiparameter unitary and nonunitary braid matrices: Even dimensions
- Canonical factorization and diagonalization of Baxterized braid matrices: Explicit constructions and applications
- Difference equations for the correlation functions of the eight-vertex model
- A new eight vertex model and higher dimensional, multiparameter generalizations
