THE 8V CSOS MODEL AND THE sl2 LOOP ALGEBRA SYMMETRY OF THE SIX-VERTEX MODEL AT ROOTS OF UNITY
From MaRDI portal
Publication:5312046
DOI10.1142/S0217979202011615zbMath1073.82535arXivcond-mat/0110121MaRDI QIDQ5312046
Publication date: 30 August 2005
Published in: International Journal of Modern Physics B (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/cond-mat/0110121
Exactly solvable models; Bethe ansatz (82B23) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)
Related Items
Scalar products of Bethe vectors in the generalized algebraic Bethe ansatz, An algebraic derivation of the eigenspaces associated with an Ising-like spectrum of the superintegrable chiral Potts model, The transfer matrix of a superintegrable chiral Potts model as theQoperator of root-of-unity XXZ chain with cyclic representation of U_{\mathsf {q}}(sl_2)
Cites Work
- Eight-vertex SOS model and generalized Rogers-Ramanujan-type identities
- A quasi-Hopf algebra interpretation of quantum \(3\)-\(j\) and \(6\)-\(j\) symbols and difference equations
- Quasi-Hopf twistors for elliptic quantum groups
- Local state probabilities for solvable restricted solid-on-solid models: \(A_ n,\;D_ n,\;D^{(1)}_ n,\) and \(A^{(1)}_ n\).
- Partition function of the eight-vertex lattice model
- Completeness of Bethe's states for the generalizedXXZmodel
- Exactly Solvable Models and New Link Polynomials. IV. IRF Models
- 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
- Completing Bethe's equations at roots of unity.
- Eight-vertex model in lattice statistics and one-dimensional anisotropic Heisenberg chain. I: Some fundamental eigenvectors.