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- W1967767823 abstract "We review an algebraic method for constructing degenerate eigenvectors of the transfer matrix of the eight-vertex Cyclic Solid-on-Solid lattice model (8V CSOS model), where the degeneracy increases exponentially with respect to the system size. We consider the elliptic quantum group E τ,η (sl 2 ) at the discrete coupling constants: 2N η = m 1 + im 2 τ, where N, m 1 and m 2 are integers. Then we show that degenerate eigenvectors of the transfer matrix of the six-vertex model at roots of unity in the sector S Z ≡ 0 ( mod N) are derived from those of the 8V CSOS model, through the trigonometric limit. They are associated with the complete N strings. From the result we see that the dimension of a given degenerate eigenspace in the sector S Z ≡ 0 ( mod N) of the six-vertex model at Nth roots of unity is given by [Formula: see text], where [Formula: see text] is the maximal value of the total spin operator S Z in the degenerate eigenspace." @default.
- W1967767823 created "2016-06-24" @default.
- W1967767823 creator A5014346547 @default.
- W1967767823 date "2002-06-20" @default.
- W1967767823 modified "2023-10-05" @default.
- W1967767823 title "THE 8V CSOS MODEL AND THE sl2 LOOP ALGEBRA SYMMETRY OF THE SIX-VERTEX MODEL AT ROOTS OF UNITY" @default.
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- W1967767823 doi "https://doi.org/10.1142/s0217979202011615" @default.
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