Two-dimensional R-matrices - Descendants of three-dimensional R-matrices

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11 Citations (Scopus)


Finite layers of three-dimensional models can be regarded as two-dimensional with complicated multi-stated weights. The tetrahedron equation in 3D provides the Yang-Baxter equation for this composite weights in 2D. Such solutions of the Yang-Baxter equation are constructed for the simplest operator solution of the tetrahedron equation. These R-matrices can be regarded as a special projection of universal R-matrix for some Drinfeld double Σ(A(1) r), associated with the affine algebra A(1) r. Usual R-matrix for Uq(A(1) r) is another projection of Σ(A(1) r).

Original languageEnglish
Pages (from-to)1393-1410
Number of pages18
JournalModern Physics Letters A
Issue number19
Publication statusPublished - 21 Jun 1997
Externally publishedYes


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