An algebraic derivation of the eigenspaces associated with an Ising-like spectrum of the superintegrable chiral Potts model
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Publication:1012661
DOI10.1007/s10955-008-9624-xzbMath1161.82006arXiv0806.1268OpenAlexW2002761723MaRDI QIDQ1012661
Tetsuo Deguchi, Akinori Nishino
Publication date: 22 April 2009
Published in: Journal of Statistical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0806.1268
Exactly solvable models; Bethe ansatz (82B23) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)
Related Items (8)
Analogues of Lusztig's higher order relations for the q-Onsager algebra ⋮ Serre-Lusztig relations for \(\imath\) quantum groups ⋮ Algebraic Bethe ansatz for \(U(1)\) invariant integrable models: compact and non-compact applications ⋮ Duality and symmetry in chiral Potts model ⋮ Reduction formula of form factors for the integrable spin-sXXZ chains and application to correlation functions ⋮ Spin operator matrix elements in the superintegrable chiral Potts quantum chain ⋮ Some ground-state expectation values for the free parafermion Z(N) spin chain ⋮ On the form factors of local operators in the Bazhanov-Stroganov and chiral Potts models
Cites Work
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- Conformal weights of RSOS lattice models and their fusion hierarchies
- Spectrum and scattering of excitations in the one-dimensional isotropic Heisenberg model
- The \(L(\mathfrak{sl}_2)\) symmetry of the Bazhanov-Stroganov model associated with the superintegrable chiral Potts model
- Generalized chiral Potts models and minimal cyclic representations of \(U_ q (\widehat {\mathfrak gl}(n,C))\)
- Quantum affine algebras
- The ``inversion relation method for obtaining the free energy of the chiral Potts model
- Irreducible modules for the quantum affine algebra \(U_{q}(\mathfrak {\widehat{sl}_2})\) and its Borel subalgebra
- Chiral Potts model with skewed boundary conditions
- Chiral Potts model as a descendant of the six-vertex model
- Eigenvectors in the superintegrable model I: {\frak{sl}}_2 generators
- Regular XXZ Bethe states at roots of unity as highest weight vectors of thesl2loop algebra
- Thesl2loop algebra symmetry of the twisted transfer matrix of the six-vertex model at roots of unity
- Construction of some missing eigenvectors of the XYZ spin chain at the discrete coupling constants and the exponentially large spectral degeneracy of the transfer matrix
- THE 8V CSOS MODEL AND THE sl2 LOOP ALGEBRA SYMMETRY OF THE SIX-VERTEX MODEL AT ROOTS OF UNITY
- Onsager's algebra and superintegrability
- Crystal Statistics. I. A Two-Dimensional Model with an Order-Disorder Transition
- Introduction to quantum groups
- The \(sl_2\) loop algebra symmetry of the six-vertex model at roots of unity
- Bethe's equation is incomplete for the \(XXZ\) model at roots of unity
- The algebraic structure of the Onsager algebra
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