Thesl2loop algebra symmetry of the twisted transfer matrix of the six-vertex model at roots of unity

DOI10.1088/0305-4470/37/2/006zbMath1088.81057arXivcond-mat/0306498OpenAlexW3098274920MaRDI QIDQ4469930

Tetsuo Deguchi

Publication date: 22 June 2004

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/cond-mat/0306498

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Exactly solvable models; Bethe ansatz (82B23) Spinor and twistor methods applied to problems in quantum theory (81R25) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory) (14D21)

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Extended T-systems, Q matrices and T-Q relations for $ \newcommand{\e}{{\rm e}} s\ell(2)$ models at roots of unity ⋮ From affine Hecke algebras to boundary symmetries ⋮ Continuum limit and symmetries of the periodic \({\mathfrak g}\ell (1|1)\) spin chain ⋮ Conformal partition functions of critical percolation fromD₃thermodynamic Bethe Ansatz equations ⋮ Constructing exactly solvable pseudo-Hermitian many-particle quantum systems by isospectral deformation ⋮ An algebraic derivation of the eigenspaces associated with an Ising-like spectrum of the superintegrable chiral Potts model

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