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- W3128505462 abstract "Abstract The eight-vertex model on the square lattice with vertex weights a , b , c , d obeying the relation ( a 2 + ab )( b 2 + ab ) = ( c 2 + ab )( d 2 + ab ) is considered. Its transfer matrix with L = 2 n + 1, n ⩾ 0, vertical lines and periodic boundary conditions along the horizontal direction has the doubly-degenerate eigenvalue Θ n = ( a + b ) 2 n +1 . A basis of the corresponding eigenspace is investigated. Several scalar products involving the basis vectors are computed in terms of a family of polynomials introduced by Rosengren and Zinn-Justin. These scalar products are used to find explicit expressions for particular entries of the vectors. The proofs of these results are based on the generalisation of the eigenvalue problem for Θ n to the inhomogeneous eight-vertex model." @default.
- W3128505462 created "2021-02-15" @default.
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- W3128505462 date "2021-02-01" @default.
- W3128505462 modified "2023-09-27" @default.
- W3128505462 title "Sum rules for the supersymmetric eight-vertex model" @default.
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- W3128505462 doi "https://doi.org/10.1088/1742-5468/abda28" @default.
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