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- W2941499897 abstract "We classify all two-dimensional fundamental integrable spin chains which have regular R-matrices of difference form. This means that the R-matrix underlying the integrable structures is of the form R(u,v)=R(u-v) and reduces to the permutation operator at some particular point. We find a total of 14 independent solutions, 8 of which correspond to well-known eight or lower vertex models. The remaining 6 models appear to be new and some have peculiar properties such as not being diagonalizable or being nilpotent. Furthermore, for even R-matrices, we find a bijection between solutions of the Yang-Baxter equation and the graded Yang-Baxter equation which extends our results to the graded two-dimensional case." @default.
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- W2941499897 date "2019-04-26" @default.
- W2941499897 modified "2023-09-27" @default.
- W2941499897 title "Classifying two-dimensional integrable spin chains" @default.
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